165386749440 has 1440 divisors, whose sum is σ = 671826687840. Its totient is φ = 34516500480.

The previous prime is 165386749417. The next prime is 165386749441. The reversal of 165386749440 is 44947683561.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165386749441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5702991346 + ... + 5702991374.

It is an arithmetic number, because the mean of its divisors is an integer number (466546311).

Almost surely, 2^165386749440 is an apocalyptic number.

165386749440 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 165386749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335913343920).

165386749440 is an abundant number, since it is smaller than the sum of its proper divisors (506439938400).

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

165386749440 is a wasteful number, since it uses less digits than its factorization.

165386749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 165386749440 in words is "one hundred sixty-five billion, three hundred eighty-six million, seven hundred forty-nine thousand, four hundred forty".