165513168480 has 384 divisors, whose sum is σ = 578028648960. Its totient is φ = 39475036160.

The previous prime is 165513168451. The next prime is 165513168481. The reversal of 165513168480 is 84861315561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165513168481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128403676 + ... + 128404964.

It is an arithmetic number, because the mean of its divisors is an integer number (1505282940).

Almost surely, 2^165513168480 is an apocalyptic number.

165513168480 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 165513168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289014324480).

165513168480 is an abundant number, since it is smaller than the sum of its proper divisors (412515480480).

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

165513168480 is a wasteful number, since it uses less digits than its factorization.

165513168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 165513168480 in words is "one hundred sixty-five billion, five hundred thirteen million, one hundred sixty-eight thousand, four hundred eighty".