165814272000 has 816 divisors, whose sum is σ = 647518002768. Its totient is φ = 40579891200.

The previous prime is 165814271983. The next prime is 165814272047. The reversal of 165814272000 is 272418561.

165814272000 is a `hidden beast` number, since 1 + 6 + 581 + 4 + 2 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46905163776 + 118909108224 = 216576^2 + 344832^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958463914 + ... + 958464086.

Almost surely, 2^165814272000 is an apocalyptic number.

165814272000 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 165814272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323759001384).

165814272000 is an abundant number, since it is smaller than the sum of its proper divisors (481703730768).

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

165814272000 is an equidigital number, since it uses as much as digits as its factorization.

165814272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 165814272000 in words is "one hundred sixty-five billion, eight hundred fourteen million, two hundred seventy-two thousand".