165519855720 has 192 divisors, whose sum is σ = 541763951040. Its totient is φ = 43825920000.

The previous prime is 165519855701. The next prime is 165519855727. The reversal of 165519855720 is 27558915561.

165519855720 is a `hidden beast` number, since 1 + 6 + 5 + 519 + 8 + 55 + 72 + 0 = 666.

165519855720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165519855727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32767195 + ... + 32772245.

It is an arithmetic number, because the mean of its divisors is an integer number (2821687245).

Almost surely, 2^165519855720 is an apocalyptic number.

165519855720 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 165519855720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270881975520).

165519855720 is an abundant number, since it is smaller than the sum of its proper divisors (376244095320).

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

165519855720 is a wasteful number, since it uses less digits than its factorization.

165519855720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 165519855720 in words is "one hundred sixty-five billion, five hundred nineteen million, eight hundred fifty-five thousand, seven hundred twenty".