52964288100 has 360 divisors, whose sum is σ = 174682569600. Its totient is φ = 13880160000.

The previous prime is 52964288093. The next prime is 52964288131. The reversal of 52964288100 is 188246925.

52964288100 is a `hidden beast` number, since 529 + 6 + 42 + 8 + 81 + 0 + 0 = 666.

52964288100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52964288100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 211012975 + ... + 211013225.

It is an arithmetic number, because the mean of its divisors is an integer number (485229360).

Almost surely, 2^52964288100 is an apocalyptic number.

52964288100 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 52964288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87341284800).

52964288100 is an abundant number, since it is smaller than the sum of its proper divisors (121718281500).

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

52964288100 is a wasteful number, since it uses less digits than its factorization.

52964288100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 52964288100 in words is "fifty-two billion, nine hundred sixty-four million, two hundred eighty-eight thousand, one hundred".