13557087120 has 160 divisors (see below), whose sum is σ = 43310442240. Its totient is φ = 3505489920.

The previous prime is 13557087109. The next prime is 13557087197. The reversal of 13557087120 is 2178075531.

It is a super-2 number, since 2×13557087120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2759226 + ... + 2764134.

It is an arithmetic number, because the mean of its divisors is an integer number (270690264).

Almost surely, 2^13557087120 is an apocalyptic number.

13557087120 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 13557087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21655221120).

13557087120 is an abundant number, since it is smaller than the sum of its proper divisors (29753355120).

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

13557087120 is a wasteful number, since it uses less digits than its factorization.

13557087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 13557087120 in words is "thirteen billion, five hundred fifty-seven million, eighty-seven thousand, one hundred twenty".