252557794272 has 384 divisors, whose sum is σ = 844018237440. Its totient is φ = 64462970880.

The previous prime is 252557794271. The next prime is 252557794309. The reversal of 252557794272 is 272497755252.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252557794271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20844088 + ... + 20856200.

It is an arithmetic number, because the mean of its divisors is an integer number (2197964160).

Almost surely, 2^252557794272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252557794272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422009118720).

252557794272 is an abundant number, since it is smaller than the sum of its proper divisors (591460443168).

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

252557794272 is a wasteful number, since it uses less digits than its factorization.

252557794272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12238 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 57.

The spelling of 252557794272 in words is "two hundred fifty-two billion, five hundred fifty-seven million, seven hundred ninety-four thousand, two hundred seventy-two".