15085060160 has 84 divisors (see below), whose sum is σ = 38158846212. Its totient is φ = 5679046656.

The previous prime is 15085060157. The next prime is 15085060201. The reversal of 15085060160 is 6106058051.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1144062976 + 13940997184 = 33824^2 + 118072^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10922 + ... + 174038.

Almost surely, 2^15085060160 is an apocalyptic number.

15085060160 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 15085060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079423106).

15085060160 is an abundant number, since it is smaller than the sum of its proper divisors (23073786052).

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

15085060160 is a wasteful number, since it uses less digits than its factorization.

15085060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163168 (or 163141 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 15085060160 in words is "fifteen billion, eighty-five million, sixty thousand, one hundred sixty".