162104579881920 has 896 divisors, whose sum is σ = 622179471513600. Its totient is φ = 39493571936256.

The previous prime is 162104579881883. The next prime is 162104579881931. The reversal of 162104579881920 is 29188975401261.

162104579881920 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 0 + 457 + 98 + 8 + 1 + 92 + 0 = 666.

It is a super-2 number, since 2×162104579881920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 34278826116 + ... + 34278830844.

It is an arithmetic number, because the mean of its divisors is an integer number (694396731600).

Almost surely, 2^{162104579881920} is an apocalyptic number.

162104579881920 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 162104579881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311089735756800).

162104579881920 is an abundant number, since it is smaller than the sum of its proper divisors (460074891631680).

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

162104579881920 is a wasteful number, since it uses less digits than its factorization.

162104579881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 162104579881920 in words is "one hundred sixty-two trillion, one hundred four billion, five hundred seventy-nine million, eight hundred eighty-one thousand, nine hundred twenty".