165958200000 has 672 divisors, whose sum is σ = 619640965440. Its totient is φ = 43545600000.

The previous prime is 165958199993. The next prime is 165958200017. The reversal of 165958200000 is 2859561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 394199790 + ... + 394200210.

It is an arithmetic number, because the mean of its divisors is an integer number (922084770).

Almost surely, 2^165958200000 is an apocalyptic number.

165958200000 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 165958200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309820482720).

165958200000 is an abundant number, since it is smaller than the sum of its proper divisors (453682765440).

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

165958200000 is an frugal number, since it uses more digits than its factorization.

165958200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 165958200000 in words is "one hundred sixty-five billion, nine hundred fifty-eight million, two hundred thousand".