52637634089600 has 288 divisors, whose sum is σ = 151863769784160. Its totient is φ = 17975274240000.

The previous prime is 52637634089597. The next prime is 52637634089611. The reversal of 52637634089600 is 698043673625.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52637634089600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38688077 + ... + 40025523.

It is an arithmetic number, because the mean of its divisors is an integer number (527304756195).

Almost surely, 2^{52637634089600} is an apocalyptic number.

52637634089600 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 52637634089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75931884892080).

52637634089600 is an abundant number, since it is smaller than the sum of its proper divisors (99226135694560).

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

52637634089600 is a wasteful number, since it uses less digits than its factorization.

52637634089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337736 (or 1337712 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 59.

The spelling of 52637634089600 in words is "fifty-two trillion, six hundred thirty-seven billion, six hundred thirty-four million, eighty-nine thousand, six hundred".