52564000025100 has 288 divisors, whose sum is σ = 157013009024256. Its totient is φ = 13568340070400.

The previous prime is 52564000025021. The next prime is 52564000025153. The reversal of 52564000025100 is 152000046525.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3779672347 + ... + 3779686253.

It is an arithmetic number, because the mean of its divisors is an integer number (545184059112).

Almost surely, 2^{52564000025100} is an apocalyptic number.

52564000025100 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 52564000025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78506504512128).

52564000025100 is an abundant number, since it is smaller than the sum of its proper divisors (104449008999156).

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

52564000025100 is a wasteful number, since it uses less digits than its factorization.

52564000025100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16345 (or 16338 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 52564000025100 in words is "fifty-two trillion, five hundred sixty-four billion, twenty-five thousand, one hundred".