52713432844800 has 1920 divisors, whose sum is σ = 221145260464128. Its totient is φ = 10773430272000.

The previous prime is 52713432844769. The next prime is 52713432844819. The reversal of 52713432844800 is 844823431725.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14281610955 + ... + 14281614645.

Almost surely, 2^{52713432844800} is an apocalyptic number.

52713432844800 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 52713432844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110572630232064).

52713432844800 is an abundant number, since it is smaller than the sum of its proper divisors (168431827619328).

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

52713432844800 is a wasteful number, since it uses less digits than its factorization.

52713432844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 52713432844800 in words is "fifty-two trillion, seven hundred thirteen billion, four hundred thirty-two million, eight hundred forty-four thousand, eight hundred".