5295756960 has 432 divisors, whose sum is σ = 20028363264. Its totient is φ = 1273079808.

The previous prime is 5295756959. The next prime is 5295756967. The reversal of 5295756960 is 696575925.

It is a happy number.

5295756960 is a `hidden beast` number, since 5 + 2 + 9 + 575 + 6 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5295756897 and 5295756906.

It is not an unprimeable number, because it can be changed into a prime (5295756967) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11437689 + ... + 11438151.

It is an arithmetic number, because the mean of its divisors is an integer number (46361952).

Almost surely, 2^5295756960 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 5295756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10014181632).

5295756960 is an abundant number, since it is smaller than the sum of its proper divisors (14732606304).

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

5295756960 is a wasteful number, since it uses less digits than its factorization.

5295756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The square root of 5295756960 is about 72771.9517396641. The cubic root of 5295756960 is about 1743.0480067909.

The spelling of 5295756960 in words is "five billion, two hundred ninety-five million, seven hundred fifty-six thousand, nine hundred sixty".