252276520912416 has 4320 divisors, whose sum is σ = 1061589599997696. Its totient is φ = 58169954304000.

The previous prime is 252276520912397. The next prime is 252276520912453. The reversal of 252276520912416 is 614219025672252.

252276520912416 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 7 + 6 + 5 + 209 + 12 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 629118505816 + ... + 629118506216.

Almost surely, 2^{252276520912416} is an apocalyptic number.

252276520912416 is a gapful number since it is divisible by the number (26) 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 252276520912416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530794799998848).

252276520912416 is an abundant number, since it is smaller than the sum of its proper divisors (809313079085280).

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

252276520912416 is a wasteful number, since it uses less digits than its factorization.

252276520912416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 252276520912416 in words is "two hundred fifty-two trillion, two hundred seventy-six billion, five hundred twenty million, nine hundred twelve thousand, four hundred sixteen".