53382644056800 has 432 divisors, whose sum is σ = 189118004454288. Its totient is φ = 14169093120000.

The previous prime is 53382644056799. The next prime is 53382644056829. The reversal of 53382644056800 is 865044628335.

53382644056800 is a `hidden beast` number, since 5 + 3 + 38 + 2 + 6 + 4 + 40 + 568 + 0 + 0 = 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, 2915004444 + ... + 2915022756.

It is an arithmetic number, because the mean of its divisors is an integer number (437773158459).

Almost surely, 2^{53382644056800} is an apocalyptic number.

53382644056800 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 53382644056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94559002227144).

53382644056800 is an abundant number, since it is smaller than the sum of its proper divisors (135735360397488).

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

53382644056800 is a wasteful number, since it uses less digits than its factorization.

53382644056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20203 (or 20187 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 53382644056800 in words is "fifty-three trillion, three hundred eighty-two billion, six hundred forty-four million, fifty-six thousand, eight hundred".