5878352480 has 576 divisors, whose sum is σ = 19963625472. Its totient is φ = 1579253760.

The previous prime is 5878352471. The next prime is 5878352503. The reversal of 5878352480 is 842538785.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46286177 + ... + 46286303.

It is an arithmetic number, because the mean of its divisors is an integer number (34659072).

Almost surely, 2^5878352480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5878352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981812736).

5878352480 is an abundant number, since it is smaller than the sum of its proper divisors (14085272992).

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

5878352480 is a wasteful number, since it uses less digits than its factorization.

5878352480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The square root of 5878352480 is about 76670.4146330252. The cubic root of 5878352480 is about 1804.7561951533.

The spelling of 5878352480 in words is "five billion, eight hundred seventy-eight million, three hundred fifty-two thousand, four hundred eighty".