252767632216 has 192 divisors, whose sum is σ = 571379235840. Its totient is φ = 104321817600.

The previous prime is 252767632211. The next prime is 252767632217. The reversal of 252767632216 is 612236767252.

It is a self number, because there is not a number n which added to its sum of digits gives 252767632216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252767632211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54911371 + ... + 54915973.

It is an arithmetic number, because the mean of its divisors is an integer number (2975933520).

Almost surely, 2^252767632216 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 252767632216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285689617920).

252767632216 is an abundant number, since it is smaller than the sum of its proper divisors (318611603624).

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

252767632216 is a wasteful number, since it uses less digits than its factorization.

252767632216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4751 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 49.

The spelling of 252767632216 in words is "two hundred fifty-two billion, seven hundred sixty-seven million, six hundred thirty-two thousand, two hundred sixteen".