165190998960 has 480 divisors, whose sum is σ = 614576289600. Its totient is φ = 39512309760.

The previous prime is 165190998949. The next prime is 165190998983. The reversal of 165190998960 is 69899091561.

It is a happy number.

165190998960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165190998960² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49147680 + ... + 49151040.

It is an arithmetic number, because the mean of its divisors is an integer number (1280367270).

Almost surely, 2^165190998960 is an apocalyptic number.

165190998960 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 165190998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307288144800).

165190998960 is an abundant number, since it is smaller than the sum of its proper divisors (449385290640).

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

165190998960 is a wasteful number, since it uses less digits than its factorization.

165190998960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 165190998960 in words is "one hundred sixty-five billion, one hundred ninety million, nine hundred ninety-eight thousand, nine hundred sixty".