15351680160 has 72 divisors (see below), whose sum is σ = 52387613460. Its totient is φ = 4093780992.

The previous prime is 15351680093. The next prime is 15351680189. The reversal of 15351680160 is 6108615351.

15351680160 is a `hidden beast` number, since 1 + 5 + 3 + 516 + 80 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15339317904 + 12362256 = 123852^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5329005 + ... + 5331884.

Almost surely, 2^15351680160 is an apocalyptic number.

15351680160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15351680160 is an abundant number, since it is smaller than the sum of its proper divisors (37035933300).

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

15351680160 is a wasteful number, since it uses less digits than its factorization.

15351680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660910 (or 10660899 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 15351680160 in words is "fifteen billion, three hundred fifty-one million, six hundred eighty thousand, one hundred sixty".