52627994100 has 324 divisors, whose sum is σ = 184414863360. Its totient is φ = 12540528000.

The previous prime is 52627994071. The next prime is 52627994117. The reversal of 52627994100 is 149972625.

52627994100 is a `hidden beast` number, since 5 + 2 + 627 + 9 + 9 + 4 + 10 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6421005 + ... + 6429195.

Almost surely, 2^52627994100 is an apocalyptic number.

52627994100 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 52627994100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207431680).

52627994100 is an abundant number, since it is smaller than the sum of its proper divisors (131786869260).

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

52627994100 is a wasteful number, since it uses less digits than its factorization.

52627994100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 52627994100 in words is "fifty-two billion, six hundred twenty-seven million, nine hundred ninety-four thousand, one hundred".