12715715760 has 480 divisors, whose sum is σ = 47021990400. Its totient is φ = 2829066240.

The previous prime is 12715715729. The next prime is 12715715783. The reversal of 12715715760 is 6751751721.

12715715760 = T₁₂₈₁₆ + T₁₂₈₁₇ + ... + T₁₂₉₆₈.

It is a super-2 number, since 2×12715715760² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21227941 + ... + 21228539.

It is an arithmetic number, because the mean of its divisors is an integer number (97962480).

Almost surely, 2^12715715760 is an apocalyptic number.

12715715760 is a gapful number since it is divisible by the number (10) 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 12715715760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510995200).

12715715760 is an abundant number, since it is smaller than the sum of its proper divisors (34306274640).

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

12715715760 is a wasteful number, since it uses less digits than its factorization.

12715715760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 42.

The spelling of 12715715760 in words is "twelve billion, seven hundred fifteen million, seven hundred fifteen thousand, seven hundred sixty".