11971274716560 has 120 divisors (see below), whose sum is σ = 38038174776000. Its totient is φ = 3114477870080.

The previous prime is 11971274716559. The next prime is 11971274716657. The reversal of 11971274716560 is 6561747217911.

11971274716560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11971274716560² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11971274716560.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14433060 + ... + 15239939.

It is an arithmetic number, because the mean of its divisors is an integer number (316984789800).

Almost surely, 2^{11971274716560} is an apocalyptic number.

11971274716560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11971274716560 is an abundant number, since it is smaller than the sum of its proper divisors (26066900059440).

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

11971274716560 is a wasteful number, since it uses less digits than its factorization.

11971274716560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29673097 (or 29673050 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 57.

The spelling of 11971274716560 in words is "eleven trillion, nine hundred seventy-one billion, two hundred seventy-four million, seven hundred sixteen thousand, five hundred sixty".