162668872080 has 800 divisors, whose sum is σ = 666969811200. Its totient is φ = 36224962560.

The previous prime is 162668872061. The next prime is 162668872097. The reversal of 162668872080 is 80278866261.

162668872080 is a `hidden beast` number, since 1 + 626 + 6 + 8 + 8 + 7 + 2 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×162668872080² (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 an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 323397109 + ... + 323397611.

It is an arithmetic number, because the mean of its divisors is an integer number (833712264).

Almost surely, 2^162668872080 is an apocalyptic number.

162668872080 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 162668872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333484905600).

162668872080 is an abundant number, since it is smaller than the sum of its proper divisors (504300939120).

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

162668872080 is a wasteful number, since it uses less digits than its factorization.

162668872080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 162668872080 in words is "one hundred sixty-two billion, six hundred sixty-eight million, eight hundred seventy-two thousand, eighty".