252544583160 has 448 divisors, whose sum is σ = 869408225280. Its totient is φ = 65978115840.

The previous prime is 252544583119. The next prime is 252544583177. The reversal of 252544583160 is 61385445252.

252544583160 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 4 + 4 + 583 + 1 + 60 = 666.

It is a super-3 number, since 3×252544583160³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 461690007 + ... + 461690553.

It is an arithmetic number, because the mean of its divisors is an integer number (1940643360).

Almost surely, 2^252544583160 is an apocalyptic number.

252544583160 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 252544583160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434704112640).

252544583160 is an abundant number, since it is smaller than the sum of its proper divisors (616863642120).

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

252544583160 is a wasteful number, since it uses less digits than its factorization.

252544583160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 252544583160 in words is "two hundred fifty-two billion, five hundred forty-four million, five hundred eighty-three thousand, one hundred sixty".