165107599981632 has 1680 divisors, whose sum is σ = 653065305520320. Its totient is φ = 40726283673600.

The previous prime is 165107599981619. The next prime is 165107599981637. The reversal of 165107599981632 is 236189995701561.

165107599981632 is a `hidden beast` number, since 1 + 6 + 5 + 10 + 7 + 599 + 9 + 8 + 16 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (165107599981637) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4942880643 + ... + 4942914045.

It is an arithmetic number, because the mean of its divisors is an integer number (388729348524).

Almost surely, 2^{165107599981632} is an apocalyptic number.

165107599981632 is a gapful number since it is divisible by the number (12) 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 165107599981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326532652760160).

165107599981632 is an abundant number, since it is smaller than the sum of its proper divisors (487957705538688).

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

165107599981632 is a wasteful number, since it uses less digits than its factorization.

165107599981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33542 (or 33516 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 165107599981632 in words is "one hundred sixty-five trillion, one hundred seven billion, five hundred ninety-nine million, nine hundred eighty-one thousand, six hundred thirty-two".