159615064672560 has 720 divisors, whose sum is σ = 625976263392480. Its totient is φ = 36342182338560.

The previous prime is 159615064672429. The next prime is 159615064672573. The reversal of 159615064672560 is 65276460516951.

159615064672560 is a `hidden beast` number, since 1 + 5 + 9 + 6 + 1 + 5 + 0 + 6 + 4 + 67 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×159615064672560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10576830615 + ... + 10576845705.

It is an arithmetic number, because the mean of its divisors is an integer number (869411476934).

Almost surely, 2^{159615064672560} is an apocalyptic number.

159615064672560 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 159615064672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312988131696240).

159615064672560 is an abundant number, since it is smaller than the sum of its proper divisors (466361198719920).

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

159615064672560 is a wasteful number, since it uses less digits than its factorization.

159615064672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16266 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 159615064672560 in words is "one hundred fifty-nine trillion, six hundred fifteen billion, sixty-four million, six hundred seventy-two thousand, five hundred sixty".