5256764160 has 288 divisors, whose sum is σ = 17387310528. Its totient is φ = 1352663040.

The previous prime is 5256764153. The next prime is 5256764171. The reversal of 5256764160 is 614676525.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27237024 + ... + 27237216.

It is an arithmetic number, because the mean of its divisors is an integer number (60372606).

Almost surely, 2^5256764160 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 5256764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693655264).

5256764160 is an abundant number, since it is smaller than the sum of its proper divisors (12130546368).

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

5256764160 is a wasteful number, since it uses less digits than its factorization.

5256764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5256764160 is about 72503.5458443241. The cubic root of 5256764160 is about 1738.7594275140.

The spelling of 5256764160 in words is "five billion, two hundred fifty-six million, seven hundred sixty-four thousand, one hundred sixty".