52656633446400 has 1728 divisors, whose sum is σ = 199848308538060. Its totient is φ = 13759414272000.

The previous prime is 52656633446363. The next prime is 52656633446413. The reversal of 52656633446400 is 464433665625.

52656633446400 is a `hidden beast` number, since 5 + 2 + 6 + 566 + 3 + 34 + 4 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32873068118016 + 19783565328384 = 5733504^2 + 4447872^2 .

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×52656633446400² (a number of 28 digits) contains 22 as substring.

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

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 107 ways as a sum of consecutive naturals, for example, 521352806350 + ... + 521352806450.

Almost surely, 2^{52656633446400} is an apocalyptic number.

52656633446400 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 52656633446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99924154269030).

52656633446400 is an abundant number, since it is smaller than the sum of its proper divisors (147191675091660).

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

52656633446400 is an frugal number, since it uses more digits than its factorization.

52656633446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 52656633446400 in words is "fifty-two trillion, six hundred fifty-six billion, six hundred thirty-three million, four hundred forty-six thousand, four hundred".