165465980928 has 320 divisors, whose sum is σ = 510548058240. Its totient is φ = 53349580800.

The previous prime is 165465980917. The next prime is 165465980957. The reversal of 165465980928 is 829089564561.

165465980928 is a `hidden beast` number, since 1 + 6 + 5 + 465 + 9 + 80 + 92 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82279443 + ... + 82281453.

It is an arithmetic number, because the mean of its divisors is an integer number (1595462682).

Almost surely, 2^165465980928 is an apocalyptic number.

165465980928 is a gapful number since it is divisible by the number (18) 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 165465980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255274029120).

165465980928 is an abundant number, since it is smaller than the sum of its proper divisors (345082077312).

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

165465980928 is an frugal number, since it uses more digits than its factorization.

165465980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 165465980928 in words is "one hundred sixty-five billion, four hundred sixty-five million, nine hundred eighty thousand, nine hundred twenty-eight".