252156985416 has 1024 divisors, whose sum is σ = 923863449600. Its totient is φ = 62042112000.

The previous prime is 252156985397. The next prime is 252156985429. The reversal of 252156985416 is 614589651252.

252156985416 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 5 + 6 + 98 + 541 + 6 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2448126021 + ... + 2448126123.

It is an arithmetic number, because the mean of its divisors is an integer number (902210400).

Almost surely, 2^252156985416 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 252156985416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461931724800).

252156985416 is an abundant number, since it is smaller than the sum of its proper divisors (671706464184).

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

252156985416 is a wasteful number, since it uses less digits than its factorization.

252156985416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 252156985416 in words is "two hundred fifty-two billion, one hundred fifty-six million, nine hundred eighty-five thousand, four hundred sixteen".