52257960000 has 525 divisors, whose sum is σ = 195110450139. Its totient is φ = 13825728000.

The previous prime is 52257959987. The next prime is 52257960011. The reversal of 52257960000 is 6975225.

The square root of 52257960000 is 228600.

It is a perfect power (a square), and thus also a powerful number.

52257960000 is a `hidden beast` number, since 5 + 22 + 579 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4097024064 + 48160935936 = 64008^2 + 219456^2 .

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 74 ways as a sum of consecutive naturals, for example, 411479937 + ... + 411480063.

Almost surely, 2^52257960000 is an apocalyptic number.

52257960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52257960000 is the 228600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52257960000

52257960000 is an abundant number, since it is smaller than the sum of its proper divisors (142852490139).

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

52257960000 is an frugal number, since it uses more digits than its factorization.

52257960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 52257960000 by its sum of digits (36), we get a square (1881286560000 = 1371600²).

52257960000 divided by its sum of digits (36) gives a square (1451610000 = 38100²).

The spelling of 52257960000 in words is "fifty-two billion, two hundred fifty-seven million, nine hundred sixty thousand".