252561231360 has 320 divisors, whose sum is σ = 898097428800. Its totient is φ = 67276210176.

The previous prime is 252561231337. The next prime is 252561231371. The reversal of 252561231360 is 63132165252.

252561231360 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 61 + 231 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98771202 + ... + 98773758.

It is an arithmetic number, because the mean of its divisors is an integer number (2806554465).

Almost surely, 2^252561231360 is an apocalyptic number.

252561231360 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 252561231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449048714400).

252561231360 is an abundant number, since it is smaller than the sum of its proper divisors (645536197440).

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

252561231360 is a wasteful number, since it uses less digits than its factorization.

252561231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 252561231360 in words is "two hundred fifty-two billion, five hundred sixty-one million, two hundred thirty-one thousand, three hundred sixty".