13557407360 has 128 divisors (see below), whose sum is σ = 37264631040. Its totient is φ = 4620165120.

The previous prime is 13557407359. The next prime is 13557407363. The reversal of 13557407360 is 6370475531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13557407363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739100 + ... + 757220.

It is an arithmetic number, because the mean of its divisors is an integer number (291129930).

Almost surely, 2^13557407360 is an apocalyptic number.

13557407360 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 13557407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632315520).

13557407360 is an abundant number, since it is smaller than the sum of its proper divisors (23707223680).

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

13557407360 is a wasteful number, since it uses less digits than its factorization.

13557407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314 (or 18302 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 13557407360 in words is "thirteen billion, five hundred fifty-seven million, four hundred seven thousand, three hundred sixty".