12875265570816 has 960 divisors, whose sum is σ = 43404981459840. Its totient is φ = 3768948817920.

The previous prime is 12875265570803. The next prime is 12875265570823. The reversal of 12875265570816 is 61807556257821.

It is a happy number.

12875265570816 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 52 + 6 + 5 + 570 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6479750175 + ... + 6479752161.

It is an arithmetic number, because the mean of its divisors is an integer number (45213522354).

Almost surely, 2^{12875265570816} is an apocalyptic number.

12875265570816 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 12875265570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21702490729920).

12875265570816 is an abundant number, since it is smaller than the sum of its proper divisors (30529715889024).

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

12875265570816 is a wasteful number, since it uses less digits than its factorization.

12875265570816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 12875265570816 in words is "twelve trillion, eight hundred seventy-five billion, two hundred sixty-five million, five hundred seventy thousand, eight hundred sixteen".