5176918656 has 768 divisors, whose sum is σ = 19960012800. Its totient is φ = 1298903040.

The previous prime is 5176918639. The next prime is 5176918667. The reversal of 5176918656 is 6568196715.

5176918656 is a `hidden beast` number, since 517 + 69 + 1 + 8 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87744355 + ... + 87744413.

It is an arithmetic number, because the mean of its divisors is an integer number (25989600).

Almost surely, 2^5176918656 is an apocalyptic number.

5176918656 is a gapful number since it is divisible by the number (56) 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 5176918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980006400).

5176918656 is an abundant number, since it is smaller than the sum of its proper divisors (14783094144).

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

5176918656 is a wasteful number, since it uses less digits than its factorization.

5176918656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 5176918656 is about 71950.8071949162. The cubic root of 5176918656 is about 1729.9110801079.

The spelling of 5176918656 in words is "five billion, one hundred seventy-six million, nine hundred eighteen thousand, six hundred fifty-six".