12753570816 has 528 divisors, whose sum is σ = 46213727040. Its totient is φ = 3303014400.

The previous prime is 12753570769. The next prime is 12753570829. The reversal of 12753570816 is 61807535721.

It is a happy number.

12753570816 is a `hidden beast` number, since 1 + 2 + 75 + 3 + 570 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31804216 + ... + 31804616.

Almost surely, 2^12753570816 is an apocalyptic number.

12753570816 is a gapful number since it is divisible by the number (16) 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 12753570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106863520).

12753570816 is an abundant number, since it is smaller than the sum of its proper divisors (33460156224).

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

12753570816 is a wasteful number, since it uses less digits than its factorization.

12753570816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 12753570816 in words is "twelve billion, seven hundred fifty-three million, five hundred seventy thousand, eight hundred sixteen".