52597868400 has 1200 divisors, whose sum is σ = 243799395840. Its totient is φ = 10538035200.

The previous prime is 52597868381. The next prime is 52597868413. The reversal of 52597868400 is 486879525.

52597868400 is a `hidden beast` number, since 5 + 2 + 597 + 8 + 6 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 72348837 + ... + 72349563.

Almost surely, 2^52597868400 is an apocalyptic number.

52597868400 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 52597868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121899697920).

52597868400 is an abundant number, since it is smaller than the sum of its proper divisors (191201527440).

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

52597868400 is a wasteful number, since it uses less digits than its factorization.

52597868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 52597868400 in words is "fifty-two billion, five hundred ninety-seven million, eight hundred sixty-eight thousand, four hundred".