252027196416 has 352 divisors, whose sum is σ = 782432179200. Its totient is φ = 79985664000.

The previous prime is 252027196409. The next prime is 252027196427. The reversal of 252027196416 is 614691720252.

252027196416 is a `hidden beast` number, since 2 + 5 + 20 + 27 + 196 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159611115 + ... + 159612693.

Almost surely, 2^252027196416 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 252027196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391216089600).

252027196416 is an abundant number, since it is smaller than the sum of its proper divisors (530404982784).

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

252027196416 is a wasteful number, since it uses less digits than its factorization.

252027196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 252027196416 in words is "two hundred fifty-two billion, twenty-seven million, one hundred ninety-six thousand, four hundred sixteen".