52756552800 has 288 divisors, whose sum is σ = 218061043200. Its totient is φ = 12058606080.

The previous prime is 52756552789. The next prime is 52756552813. The reversal of 52756552800 is 825565725.

52756552800 is a `hidden beast` number, since 5 + 2 + 7 + 565 + 5 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 23260 + ... + 325659.

It is an arithmetic number, because the mean of its divisors is an integer number (757156400).

Almost surely, 2^52756552800 is an apocalyptic number.

52756552800 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 52756552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109030521600).

52756552800 is an abundant number, since it is smaller than the sum of its proper divisors (165304490400).

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

52756552800 is a wasteful number, since it uses less digits than its factorization.

52756552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348955 (or 348936 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 52756552800 in words is "fifty-two billion, seven hundred fifty-six million, five hundred fifty-two thousand, eight hundred".