52294561689600 has 936 divisors, whose sum is σ = 199143739922400. Its totient is φ = 13086944133120.

The previous prime is 52294561689569. The next prime is 52294561689707. The reversal of 52294561689600 is 698616549225.

It is a happy number.

52294561689600 is a `hidden beast` number, since 5 + 2 + 2 + 9 + 4 + 5 + 6 + 16 + 8 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1123407126 + ... + 1123453674.

It is an arithmetic number, because the mean of its divisors is an integer number (212760405900).

Almost surely, 2^{52294561689600} is an apocalyptic number.

52294561689600 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 52294561689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99571869961200).

52294561689600 is an abundant number, since it is smaller than the sum of its proper divisors (146849178232800).

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

52294561689600 is a wasteful number, since it uses less digits than its factorization.

52294561689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46665 (or 46635 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 52294561689600 in words is "fifty-two trillion, two hundred ninety-four billion, five hundred sixty-one million, six hundred eighty-nine thousand, six hundred".