252747910120 has 64 divisors (see below), whose sum is σ = 576995529600. Its totient is φ = 99622844160.

The previous prime is 252747910081. The next prime is 252747910127. The reversal of 252747910120 is 21019747252.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (252747910127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5620686 + ... + 5665474.

It is an arithmetic number, because the mean of its divisors is an integer number (9015555150).

Almost surely, 2^252747910120 is an apocalyptic number.

252747910120 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 252747910120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288497764800).

252747910120 is an abundant number, since it is smaller than the sum of its proper divisors (324247619480).

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

252747910120 is a wasteful number, since it uses less digits than its factorization.

252747910120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46858 (or 46854 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 252747910120 in words is "two hundred fifty-two billion, seven hundred forty-seven million, nine hundred ten thousand, one hundred twenty".