52536072000 has 448 divisors, whose sum is σ = 180426774528. Its totient is φ = 13455360000.

The previous prime is 52536071947. The next prime is 52536072013. The reversal of 52536072000 is 27063525.

It is a super-2 number, since 2×52536072000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179303854 + ... + 179304146.

It is an arithmetic number, because the mean of its divisors is an integer number (402738336).

Almost surely, 2^52536072000 is an apocalyptic number.

52536072000 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 52536072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90213387264).

52536072000 is an abundant number, since it is smaller than the sum of its proper divisors (127890702528).

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

52536072000 is a wasteful number, since it uses less digits than its factorization.

52536072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The spelling of 52536072000 in words is "fifty-two billion, five hundred thirty-six million, seventy-two thousand".