165998562990120 has 2048 divisors, whose sum is σ = 700010201088000. Its totient is φ = 34119186923520.

The previous prime is 165998562990061. The next prime is 165998562990149. The reversal of 165998562990120 is 21099265899561.

165998562990120 is a `hidden beast` number, since 1 + 6 + 59 + 9 + 8 + 562 + 9 + 9 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×165998562990120² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 187146068317 + ... + 187146069203.

It is an arithmetic number, because the mean of its divisors is an integer number (341801856000).

Almost surely, 2^{165998562990120} is an apocalyptic number.

165998562990120 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 165998562990120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350005100544000).

165998562990120 is an abundant number, since it is smaller than the sum of its proper divisors (534011638097880).

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

165998562990120 is a wasteful number, since it uses less digits than its factorization.

165998562990120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 72.

The spelling of 165998562990120 in words is "one hundred sixty-five trillion, nine hundred ninety-eight billion, five hundred sixty-two million, nine hundred ninety thousand, one hundred twenty".