165579456180 has 192 divisors, whose sum is σ = 521140838400. Its totient is φ = 39085079040.

The previous prime is 165579456173. The next prime is 165579456233. The reversal of 165579456180 is 81654975561.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 165579456180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944079 + ... + 1105641.

It is an arithmetic number, because the mean of its divisors is an integer number (2714275200).

Almost surely, 2^165579456180 is an apocalyptic number.

165579456180 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 165579456180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260570419200).

165579456180 is an abundant number, since it is smaller than the sum of its proper divisors (355561382220).

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

165579456180 is a wasteful number, since it uses less digits than its factorization.

165579456180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161654 (or 161652 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 165579456180 in words is "one hundred sixty-five billion, five hundred seventy-nine million, four hundred fifty-six thousand, one hundred eighty".