52553188800 has 840 divisors, whose sum is σ = 225139581216. Its totient is φ = 11774730240.

The previous prime is 52553188733. The next prime is 52553188829. The reversal of 52553188800 is 888135525.

52553188800 is a `hidden beast` number, since 5 + 2 + 553 + 18 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48081054 + ... + 48082146.

Almost surely, 2^52553188800 is an apocalyptic number.

52553188800 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 52553188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112569790608).

52553188800 is an abundant number, since it is smaller than the sum of its proper divisors (172586392416).

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

52553188800 is a wasteful number, since it uses less digits than its factorization.

52553188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 52553188800 in words is "fifty-two billion, five hundred fifty-three million, one hundred eighty-eight thousand, eight hundred".