52554522400 has 144 divisors (see below), whose sum is σ = 130029255720. Its totient is φ = 20739686400.

The previous prime is 52554522373. The next prime is 52554522421. The reversal of 52554522400 is 422545525.

It can be written as a sum of positive squares in 12 ways, for example, as 4282917136 + 48271605264 = 65444^2 + 219708^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30185530 + ... + 30187270.

Almost surely, 2^52554522400 is an apocalyptic number.

52554522400 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 52554522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65014627860).

52554522400 is an abundant number, since it is smaller than the sum of its proper divisors (77474733320).

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

52554522400 is a wasteful number, since it uses less digits than its factorization.

52554522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 34.

The spelling of 52554522400 in words is "fifty-two billion, five hundred fifty-four million, five hundred twenty-two thousand, four hundred".