52325380800 has 1008 divisors, whose sum is σ = 237728784384. Its totient is φ = 10598400000.

The previous prime is 52325380787. The next prime is 52325380817. The reversal of 52325380800 is 808352325.

52325380800 is a `hidden beast` number, since 523 + 2 + 53 + 8 + 0 + 80 + 0 = 666.

52325380800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45460225 + ... + 45461375.

It is an arithmetic number, because the mean of its divisors is an integer number (235842048).

Almost surely, 2^52325380800 is an apocalyptic number.

52325380800 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 52325380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118864392192).

52325380800 is an abundant number, since it is smaller than the sum of its proper divisors (185403403584).

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

52325380800 is a wasteful number, since it uses less digits than its factorization.

52325380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 52325380800 in words is "fifty-two billion, three hundred twenty-five million, three hundred eighty thousand, eight hundred".