165188170560 has 672 divisors, whose sum is σ = 638243884800. Its totient is φ = 35452256256.

The previous prime is 165188170507. The next prime is 165188170613. The reversal of 165188170560 is 65071881561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165188170507) and next prime (165188170613).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361461852 + ... + 361462308.

Almost surely, 2^165188170560 is an apocalyptic number.

165188170560 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 165188170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319121942400).

165188170560 is an abundant number, since it is smaller than the sum of its proper divisors (473055714240).

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

165188170560 is a wasteful number, since it uses less digits than its factorization.

165188170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 48.

The spelling of 165188170560 in words is "one hundred sixty-five billion, one hundred eighty-eight million, one hundred seventy thousand, five hundred sixty".