252754568220 has 192 divisors, whose sum is σ = 883903104000. Its totient is φ = 52427581440.

The previous prime is 252754568207. The next prime is 252754568221. The reversal of 252754568220 is 22865457252.

It is a self number, because there is not a number n which added to its sum of digits gives 252754568220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252754568221) 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, 2580706 + ... + 2676854.

It is an arithmetic number, because the mean of its divisors is an integer number (4603662000).

Almost surely, 2^252754568220 is an apocalyptic number.

252754568220 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 252754568220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441951552000).

252754568220 is an abundant number, since it is smaller than the sum of its proper divisors (631148535780).

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

252754568220 is a wasteful number, since it uses less digits than its factorization.

252754568220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96748 (or 96746 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 252754568220 in words is "two hundred fifty-two billion, seven hundred fifty-four million, five hundred sixty-eight thousand, two hundred twenty".