15005666160 has 120 divisors (see below), whose sum is σ = 50576628960. Its totient is φ = 3987012096.

The previous prime is 15005666129. The next prime is 15005666161. The reversal of 15005666160 is 6166650051.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15005666161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161821 + ... + 237059.

It is an arithmetic number, because the mean of its divisors is an integer number (421471908).

Almost surely, 2^15005666160 is an apocalyptic number.

15005666160 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 15005666160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25288314480).

15005666160 is an abundant number, since it is smaller than the sum of its proper divisors (35570962800).

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

15005666160 is a wasteful number, since it uses less digits than its factorization.

15005666160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75535 (or 75526 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 15005666160 in words is "fifteen billion, five million, six hundred sixty-six thousand, one hundred sixty".