165102599424 has 576 divisors, whose sum is σ = 569646120960. Its totient is φ = 41349242880.

The previous prime is 165102599377. The next prime is 165102599461. The reversal of 165102599424 is 424995201561.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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, 72827539 + ... + 72829805.

It is an arithmetic number, because the mean of its divisors is an integer number (988968960).

Almost surely, 2^165102599424 is an apocalyptic number.

165102599424 is a gapful number since it is divisible by the number (14) 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 165102599424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284823060480).

165102599424 is an abundant number, since it is smaller than the sum of its proper divisors (404543521536).

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

165102599424 is a wasteful number, since it uses less digits than its factorization.

165102599424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 165102599424 in words is "one hundred sixty-five billion, one hundred two million, five hundred ninety-nine thousand, four hundred twenty-four".