15172011200160 has 144 divisors (see below), whose sum is σ = 52037303854536. Its totient is φ = 4025332168704.

The previous prime is 15172011200131. The next prime is 15172011200161. The reversal of 15172011200160 is 6100211027151.

15172011200160 is a `hidden beast` number, since 1 + 517 + 20 + 1 + 120 + 0 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15159591435024 + 12419765136 = 3893532^2 + 111444^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (15172011200161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26457739 + ... + 27025098.

Almost surely, 2^{15172011200160} is an apocalyptic number.

15172011200160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15172011200160 is an abundant number, since it is smaller than the sum of its proper divisors (36865292654376).

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

15172011200160 is a wasteful number, since it uses less digits than its factorization.

15172011200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53483055 (or 53483044 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 15172011200160 in words is "fifteen trillion, one hundred seventy-two billion, eleven million, two hundred thousand, one hundred sixty".