163129512960 has 528 divisors, whose sum is σ = 620934687360. Its totient is φ = 39414988800.

The previous prime is 163129512899. The next prime is 163129512961. The reversal of 163129512960 is 69215921361.

163129512960 is a `hidden beast` number, since 1 + 6 + 3 + 129 + 512 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×163129512960² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (163129512961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20132910 + ... + 20141010.

Almost surely, 2^163129512960 is an apocalyptic number.

163129512960 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 163129512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310467343680).

163129512960 is an abundant number, since it is smaller than the sum of its proper divisors (457805174400).

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

163129512960 is a wasteful number, since it uses less digits than its factorization.

163129512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 163129512960 in words is "one hundred sixty-three billion, one hundred twenty-nine million, five hundred twelve thousand, nine hundred sixty".