5157976320 has 864 divisors, whose sum is σ = 22284767232. Its totient is φ = 1116758016.

The previous prime is 5157976309. The next prime is 5157976331. The reversal of 5157976320 is 236797515.

5157976320 is a `hidden beast` number, since 5 + 1 + 5 + 7 + 9 + 7 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5157976309) and next prime (5157976331).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-4 number, since 4×5157976320⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 50077389 + ... + 50077491.

Almost surely, 2^5157976320 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 5157976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142383616).

5157976320 is an abundant number, since it is smaller than the sum of its proper divisors (17126790912).

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

5157976320 is a wasteful number, since it uses less digits than its factorization.

5157976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5157976320 is about 71819.0526253306. The cubic root of 5157976320 is about 1727.7985876358.

The spelling of 5157976320 in words is "five billion, one hundred fifty-seven million, nine hundred seventy-six thousand, three hundred twenty".