165116515200 has 1728 divisors, whose sum is σ = 717706206720. Its totient is φ = 33210777600.

The previous prime is 165116515181. The next prime is 165116515211. The reversal of 165116515200 is 2515611561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2464425567 + ... + 2464425633.

It is an arithmetic number, because the mean of its divisors is an integer number (415339240).

Almost surely, 2^165116515200 is an apocalyptic number.

165116515200 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 165116515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358853103360).

165116515200 is an abundant number, since it is smaller than the sum of its proper divisors (552589691520).

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

165116515200 is a wasteful number, since it uses less digits than its factorization.

165116515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

The spelling of 165116515200 in words is "one hundred sixty-five billion, one hundred sixteen million, five hundred fifteen thousand, two hundred".