13957706160 has 120 divisors (see below), whose sum is σ = 48610794960. Its totient is φ = 3722049792.

The previous prime is 13957706143. The next prime is 13957706201. The reversal of 13957706160 is 6160775931.

13957706160 is a `hidden beast` number, since 13 + 9 + 577 + 0 + 6 + 1 + 60 = 666.

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

It is a super-2 number, since 2×13957706160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 339555 + ... + 378434.

It is an arithmetic number, because the mean of its divisors is an integer number (405089958).

Almost surely, 2^13957706160 is an apocalyptic number.

13957706160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13957706160 is an abundant number, since it is smaller than the sum of its proper divisors (34653088800).

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

13957706160 is an equidigital number, since it uses as much as digits as its factorization.

13957706160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718017 (or 717999 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 13957706160 in words is "thirteen billion, nine hundred fifty-seven million, seven hundred six thousand, one hundred sixty".