564976255500 has 240 divisors, whose sum is σ = 1902709256448. Its totient is φ = 145800000000.

The previous prime is 564976255457. The next prime is 564976255513. The reversal of 564976255500 is 5552679465.

564976255500 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 7 + 625 + 5 + 5 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1030500 + ... + 1480500.

Almost surely, 2^564976255500 is an apocalyptic number.

564976255500 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 564976255500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951354628224).

564976255500 is an abundant number, since it is smaller than the sum of its proper divisors (1337733000948).

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

564976255500 is a wasteful number, since it uses less digits than its factorization.

564976255500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450063 (or 450042 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 564976255500 in words is "five hundred sixty-four billion, nine hundred seventy-six million, two hundred fifty-five thousand, five hundred".