165299806010880 has 1280 divisors, whose sum is σ = 643765696358400. Its totient is φ = 40017175511040.

The previous prime is 165299806010819. The next prime is 165299806010917. The reversal of 165299806010880 is 88010608992561.

165299806010880 is a `hidden beast` number, since 1 + 6 + 529 + 98 + 0 + 6 + 0 + 10 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50534943645 + ... + 50534946915.

It is an arithmetic number, because the mean of its divisors is an integer number (502941950280).

Almost surely, 2^{165299806010880} is an apocalyptic number.

165299806010880 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 165299806010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321882848179200).

165299806010880 is an abundant number, since it is smaller than the sum of its proper divisors (478465890347520).

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

165299806010880 is a wasteful number, since it uses less digits than its factorization.

165299806010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 165299806010880 in words is "one hundred sixty-five trillion, two hundred ninety-nine billion, eight hundred six million, ten thousand, eight hundred eighty".