52075108800 has 1260 divisors, whose sum is σ = 230795601400. Its totient is φ = 11039846400.

The previous prime is 52075108759. The next prime is 52075108807. The reversal of 52075108800 is 880157025.

52075108800 is a `hidden beast` number, since 520 + 7 + 51 + 0 + 8 + 80 + 0 = 666.

52075108800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52075108807) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2740795191 + ... + 2740795209.

Almost surely, 2^52075108800 is an apocalyptic number.

52075108800 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 52075108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115397800700).

52075108800 is an abundant number, since it is smaller than the sum of its proper divisors (178720492600).

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

52075108800 is a wasteful number, since it uses less digits than its factorization.

52075108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 52075108800 in words is "fifty-two billion, seventy-five million, one hundred eight thousand, eight hundred".