15945572160 has 756 divisors, whose sum is σ = 67550381028. Its totient is φ = 3441844224.

The previous prime is 15945572143. The next prime is 15945572183. The reversal of 15945572160 is 6127554951.

It is a happy number.

15945572160 is a `hidden beast` number, since 1 + 5 + 94 + 557 + 2 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1997017344 + 13948554816 = 44688^2 + 118104^2 .

It is a super-2 number, since 2×15945572160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50944164 + ... + 50944476.

Almost surely, 2^15945572160 is an apocalyptic number.

15945572160 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 15945572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33775190514).

15945572160 is an abundant number, since it is smaller than the sum of its proper divisors (51604808868).

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

15945572160 is a wasteful number, since it uses less digits than its factorization.

15945572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 15945572160 in words is "fifteen billion, nine hundred forty-five million, five hundred seventy-two thousand, one hundred sixty".