52924492800 has 330 divisors, whose sum is σ = 195980852628. Its totient is φ = 14112645120.

The previous prime is 52924492787. The next prime is 52924492823. The reversal of 52924492800 is 829442925.

52924492800 is a `hidden beast` number, since 529 + 2 + 4 + 49 + 2 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2060839 + ... + 2086361.

Almost surely, 2^52924492800 is an apocalyptic number.

52924492800 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 52924492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97990426314).

52924492800 is an abundant number, since it is smaller than the sum of its proper divisors (143056359828).

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

52924492800 is a wasteful number, since it uses less digits than its factorization.

52924492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25565 (or 25533 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 52924492800 in words is "fifty-two billion, nine hundred twenty-four million, four hundred ninety-two thousand, eight hundred".