165517955280 has 320 divisors, whose sum is σ = 589714636800. Its totient is φ = 42626787840.

The previous prime is 165517955263. The next prime is 165517955293. The reversal of 165517955280 is 82559715561.

165517955280 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 1 + 7 + 9 + 552 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36624861 + ... + 36629379.

It is an arithmetic number, because the mean of its divisors is an integer number (1842858240).

Almost surely, 2^165517955280 is an apocalyptic number.

165517955280 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 165517955280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294857318400).

165517955280 is an abundant number, since it is smaller than the sum of its proper divisors (424196681520).

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

165517955280 is a wasteful number, since it uses less digits than its factorization.

165517955280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 165517955280 in words is "one hundred sixty-five billion, five hundred seventeen million, nine hundred fifty-five thousand, two hundred eighty".