252872182080 has 672 divisors, whose sum is σ = 1058230877184. Its totient is φ = 54103375872.

The previous prime is 252872182001. The next prime is 252872182141. The reversal of 252872182080 is 80281278252.

252872182080 is a `hidden beast` number, since 2 + 528 + 7 + 21 + 8 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 66143049 + ... + 66146871.

Almost surely, 2^252872182080 is an apocalyptic number.

252872182080 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 252872182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529115438592).

252872182080 is an abundant number, since it is smaller than the sum of its proper divisors (805358695104).

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

252872182080 is a wasteful number, since it uses less digits than its factorization.

252872182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 252872182080 in words is "two hundred fifty-two billion, eight hundred seventy-two million, one hundred eighty-two thousand, eighty".