5264656800 has 576 divisors, whose sum is σ = 19843729920. Its totient is φ = 1201582080.

The previous prime is 5264656769. The next prime is 5264656823. The reversal of 5264656800 is 86564625.

It is a super-2 number, since 2×5264656800² = 55433222443572480000, which contains 22 as substring.

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, 49202347 + ... + 49202453.

It is an arithmetic number, because the mean of its divisors is an integer number (34450920).

Almost surely, 2^5264656800 is an apocalyptic number.

5264656800 is a gapful number since it is divisible by the number (50) 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 5264656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921864960).

5264656800 is an abundant number, since it is smaller than the sum of its proper divisors (14579073120).

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

5264656800 is a wasteful number, since it uses less digits than its factorization.

5264656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5264656800 is about 72557.9547672066. The cubic root of 5264656800 is about 1739.6291983015.

The spelling of 5264656800 in words is "five billion, two hundred sixty-four million, six hundred fifty-six thousand, eight hundred".