27614940165120 has 352 divisors, whose sum is σ = 110119061569536. Its totient is φ = 5738169139200.

The previous prime is 27614940165101. The next prime is 27614940165157. The reversal of 27614940165120 is 2156104941672.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×27614940165120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27614940165120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10491616 + ... + 12857055.

Almost surely, 2^{27614940165120} is an apocalyptic number.

27614940165120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27614940165120 is an abundant number, since it is smaller than the sum of its proper divisors (82504121404416).

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

27614940165120 is a wasteful number, since it uses less digits than its factorization.

27614940165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23348717 (or 23348699 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 27614940165120 in words is "twenty-seven trillion, six hundred fourteen billion, nine hundred forty million, one hundred sixty-five thousand, one hundred twenty".