165515810460 has 1152 divisors, whose sum is σ = 664871639040. Its totient is φ = 29889699840.

The previous prime is 165515810381. The next prime is 165515810479. The reversal of 165515810460 is 64018515561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1015434339 + ... + 1015434501.

It is an arithmetic number, because the mean of its divisors is an integer number (577145520).

Almost surely, 2^165515810460 is an apocalyptic number.

165515810460 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 165515810460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332435819520).

165515810460 is an abundant number, since it is smaller than the sum of its proper divisors (499355828580).

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

165515810460 is a wasteful number, since it uses less digits than its factorization.

165515810460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 165515810460 in words is "one hundred sixty-five billion, five hundred fifteen million, eight hundred ten thousand, four hundred sixty".