252205565241600 has 1080 divisors, whose sum is σ = 988176795090408. Its totient is φ = 63247122432000.

The previous prime is 252205565241589. The next prime is 252205565241607. The reversal of 252205565241600 is 6142565502252.

252205565241600 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 0 + 5 + 565 + 24 + 1 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 100364812114176 + 151840753127424 = 10018224^2 + 12322368^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252205565241607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11465441802 + ... + 11465463798.

Almost surely, 2^{252205565241600} is an apocalyptic number.

252205565241600 is a gapful number since it is divisible by the number (20) 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 252205565241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494088397545204).

252205565241600 is an abundant number, since it is smaller than the sum of its proper divisors (735971229848808).

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

252205565241600 is a wasteful number, since it uses less digits than its factorization.

252205565241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23353 (or 23325 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 252205565241600 in words is "two hundred fifty-two trillion, two hundred five billion, five hundred sixty-five million, two hundred forty-one thousand, six hundred".