165251530080 has 1536 divisors, whose sum is σ = 765705830400. Its totient is φ = 32296402944.

The previous prime is 165251530057. The next prime is 165251530217. The reversal of 165251530080 is 80035152561.

It is a happy number.

165251530080 is a `hidden beast` number, since 1 + 6 + 525 + 1 + 53 + 0 + 0 + 80 = 666.

It is a super-2 number, since 2×165251530080² (a number of 23 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 527960004 + ... + 527960316.

It is an arithmetic number, because the mean of its divisors is an integer number (498506400).

Almost surely, 2^165251530080 is an apocalyptic number.

165251530080 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 165251530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382852915200).

165251530080 is an abundant number, since it is smaller than the sum of its proper divisors (600454300320).

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

165251530080 is a wasteful number, since it uses less digits than its factorization.

165251530080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 165251530080 in words is "one hundred sixty-five billion, two hundred fifty-one million, five hundred thirty thousand, eighty".