13957180160 has 576 divisors, whose sum is σ = 44757909504. Its totient is φ = 4041523200.

The previous prime is 13957180129. The next prime is 13957180163. The reversal of 13957180160 is 6108175931.

It is not an unprimeable number, because it can be changed into a prime (13957180163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106543295 + ... + 106543425.

It is an arithmetic number, because the mean of its divisors is an integer number (77704704).

Almost surely, 2^13957180160 is an apocalyptic number.

13957180160 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 13957180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22378954752).

13957180160 is an abundant number, since it is smaller than the sum of its proper divisors (30800729344).

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

13957180160 is a wasteful number, since it uses less digits than its factorization.

13957180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The spelling of 13957180160 in words is "thirteen billion, nine hundred fifty-seven million, one hundred eighty thousand, one hundred sixty".