162999120960 has 896 divisors, whose sum is σ = 645337190400. Its totient is φ = 38688399360.

The previous prime is 162999120959. The next prime is 162999121001. The reversal of 162999120960 is 69021999261.

162999120960 is a `hidden beast` number, since 1 + 6 + 299 + 91 + 209 + 60 = 666.

It is a super-2 number, since 2×162999120960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 162999120897 and 162999120906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 588444342 + ... + 588444618.

It is an arithmetic number, because the mean of its divisors is an integer number (720242400).

Almost surely, 2^162999120960 is an apocalyptic number.

162999120960 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 162999120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322668595200).

162999120960 is an abundant number, since it is smaller than the sum of its proper divisors (482338069440).

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

162999120960 is a wasteful number, since it uses less digits than its factorization.

162999120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 162999120960 in words is "one hundred sixty-two billion, nine hundred ninety-nine million, one hundred twenty thousand, nine hundred sixty".