52558286400 has 336 divisors, whose sum is σ = 201681486400. Its totient is φ = 13277675520.

The previous prime is 52558286371. The next prime is 52558286437. The reversal of 52558286400 is 468285525.

It is a happy number.

52558286400 is a `hidden beast` number, since 5 + 2 + 5 + 582 + 8 + 64 + 0 + 0 = 666.

52558286400 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 (45).

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, 788784 + ... + 852816.

Almost surely, 2^52558286400 is an apocalyptic number.

52558286400 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 52558286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100840743200).

52558286400 is an abundant number, since it is smaller than the sum of its proper divisors (149123200000).

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

52558286400 is a wasteful number, since it uses less digits than its factorization.

52558286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64083 (or 64062 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 52558286400 in words is "fifty-two billion, five hundred fifty-eight million, two hundred eighty-six thousand, four hundred".