52656615200 has 486 divisors, whose sum is σ = 160449517683. Its totient is φ = 16823116800.

The previous prime is 52656615199. The next prime is 52656615203. The reversal of 52656615200 is 251665625.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 81793936 + 52574821264 = 9044^2 + 229292^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=162260.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (52656615203) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 863223170 + ... + 863223230.

Almost surely, 2^52656615200 is an apocalyptic number.

52656615200 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 52656615200

52656615200 is an abundant number, since it is smaller than the sum of its proper divisors (107792902483).

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

52656615200 is a wasteful number, since it uses less digits than its factorization.

52656615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 52656615200 in words is "fifty-two billion, six hundred fifty-six million, six hundred fifteen thousand, two hundred".