252975877620 has 192 divisors, whose sum is σ = 722804898816. Its totient is φ = 66098350080.

The previous prime is 252975877579. The next prime is 252975877639. The reversal of 252975877620 is 26778579252.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515225575 + ... + 515226065.

It is an arithmetic number, because the mean of its divisors is an integer number (3764608848).

Almost surely, 2^252975877620 is an apocalyptic number.

252975877620 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 252975877620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361402449408).

252975877620 is an abundant number, since it is smaller than the sum of its proper divisors (469829021196).

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

252975877620 is a wasteful number, since it uses less digits than its factorization.

252975877620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 252975877620 in words is "two hundred fifty-two billion, nine hundred seventy-five million, eight hundred seventy-seven thousand, six hundred twenty".