5177696256 has 336 divisors, whose sum is σ = 16497025680. Its totient is φ = 1624375296.

The previous prime is 5177696191. The next prime is 5177696257. The reversal of 5177696256 is 6526967715.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5177696256 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 6 + 9 + 625 + 6 = 666.

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

Its product of digits (4762800) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5177696257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304570360 + ... + 304570376.

Almost surely, 2^5177696256 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 5177696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248512840).

5177696256 is an abundant number, since it is smaller than the sum of its proper divisors (11319329424).

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

5177696256 is an frugal number, since it uses more digits than its factorization.

5177696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 22 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 5177696256 is about 71956.2106839986. The cubic root of 5177696256 is about 1729.9976896402.

Multiplying 5177696256 by its sum of digits (54), we get a square (279595597824 = 528768²).

5177696256 divided by its sum of digits (54) gives a square (95883264 = 9792²).

The spelling of 5177696256 in words is "five billion, one hundred seventy-seven million, six hundred ninety-six thousand, two hundred fifty-six".