5185981920 has 384 divisors, whose sum is σ = 19924724736. Its totient is φ = 1106804736.

The previous prime is 5185981919. The next prime is 5185981963. The reversal of 5185981920 is 291895815.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5185981920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9310282 + ... + 9310838.

It is an arithmetic number, because the mean of its divisors is an integer number (51887304).

Almost surely, 2^5185981920 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 5185981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962362368).

5185981920 is an abundant number, since it is smaller than the sum of its proper divisors (14738742816).

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

5185981920 is a wasteful number, since it uses less digits than its factorization.

5185981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 48.

The square root of 5185981920 is about 72013.7620181032. The cubic root of 5185981920 is about 1730.9200136184.

The spelling of 5185981920 in words is "five billion, one hundred eighty-five million, nine hundred eighty-one thousand, nine hundred twenty".