52456488164080 has 320 divisors, whose sum is σ = 163765444340736. Its totient is φ = 15091163136000.

The previous prime is 52456488164057. The next prime is 52456488164083. The reversal of 52456488164080 is 8046188465425.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52456488164083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1614476635 + ... + 1614509125.

Almost surely, 2^{52456488164080} 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 52456488164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81882722170368).

52456488164080 is an abundant number, since it is smaller than the sum of its proper divisors (111308956176656).

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

52456488164080 is a wasteful number, since it uses less digits than its factorization.

52456488164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52696 (or 52690 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 61.

The spelling of 52456488164080 in words is "fifty-two trillion, four hundred fifty-six billion, four hundred eighty-eight million, one hundred sixty-four thousand, eighty".