52153718400 has 1152 divisors, whose sum is σ = 226085529600. Its totient is φ = 11705057280.

The previous prime is 52153718389. The next prime is 52153718521. The reversal of 52153718400 is 481735125.

52153718400 is a `hidden beast` number, since 5 + 215 + 37 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410659137 + ... + 410659263.

It is an arithmetic number, because the mean of its divisors is an integer number (196254800).

Almost surely, 2^52153718400 is an apocalyptic number.

52153718400 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 52153718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113042764800).

52153718400 is an abundant number, since it is smaller than the sum of its proper divisors (173931811200).

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

52153718400 is a wasteful number, since it uses less digits than its factorization.

52153718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 52153718400 in words is "fifty-two billion, one hundred fifty-three million, seven hundred eighteen thousand, four hundred".