13172955179040 has 144 divisors (see below), whose sum is σ = 46502803128600. Its totient is φ = 3391657414656.

The previous prime is 13172955178997. The next prime is 13172955179117. The reversal of 13172955179040 is 4097155927131.

13172955179040 is a `hidden beast` number, since 1 + 3 + 17 + 2 + 9 + 551 + 79 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13079766627216 + 93188551824 = 3616596^2 + 305268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 157680405 + ... + 157763924.

Almost surely, 2^{13172955179040} is an apocalyptic number.

13172955179040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13172955179040 is an abundant number, since it is smaller than the sum of its proper divisors (33329847949560).

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

13172955179040 is a wasteful number, since it uses less digits than its factorization.

13172955179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315444379 (or 315444368 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 13172955179040 in words is "thirteen trillion, one hundred seventy-two billion, nine hundred fifty-five million, one hundred seventy-nine thousand, forty".