5871390624 has 240 divisors, whose sum is σ = 19279481760. Its totient is φ = 1737469440.

The previous prime is 5871390611. The next prime is 5871390641. The reversal of 5871390624 is 4260931785.

5871390624 is a `hidden beast` number, since 5 + 8 + 7 + 13 + 9 + 0 + 624 = 666.

5871390624 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 76625²-1.

5871390624 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 5871390624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1223622 + ... + 1228410.

It is an arithmetic number, because the mean of its divisors is an integer number (80331174).

It is a 1-persistent number, because it is pandigital, but 2⋅5871390624 = 11742781248 is not.

Almost surely, 2^5871390624 is an apocalyptic number.

5871390624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5871390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639740880).

5871390624 is an abundant number, since it is smaller than the sum of its proper divisors (13408091136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5871390624 is a wasteful number, since it uses less digits than its factorization.

5871390624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5871390624 is about 76624.9999934747. Note that the first 5 decimals coincide. The cubic root of 5871390624 is about 1804.0434435124.

It can be divided in two parts, 5871 and 390624, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 5871390624 in words is "five billion, eight hundred seventy-one million, three hundred ninety thousand, six hundred twenty-four".