252049926030336 has 1848 divisors, whose sum is σ = 931097871731520. Its totient is φ = 66588900360192.

The previous prime is 252049926030319. The next prime is 252049926030341. The reversal of 252049926030336 is 633030629940252.

252049926030336 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 49 + 9 + 260 + 3 + 0 + 336 = 666.

It is a super-2 number, since 2×252049926030336² (a number of 30 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 183576056146 + ... + 183576057518.

Almost surely, 2^{252049926030336} 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 252049926030336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465548935865760).

252049926030336 is an abundant number, since it is smaller than the sum of its proper divisors (679047945701184).

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

252049926030336 is an equidigital number, since it uses as much as digits as its factorization.

252049926030336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 252049926030336 in words is "two hundred fifty-two trillion, forty-nine billion, nine hundred twenty-six million, thirty thousand, three hundred thirty-six".