165408376320 has 800 divisors, whose sum is σ = 652528521216. Its totient is φ = 39713587200.

The previous prime is 165408376283. The next prime is 165408376409. The reversal of 165408376320 is 23673804561.

165408376320 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 0 + 8 + 3 + 7 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289681635 + ... + 289682205.

Almost surely, 2^165408376320 is an apocalyptic number.

165408376320 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 165408376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326264260608).

165408376320 is an abundant number, since it is smaller than the sum of its proper divisors (487120144896).

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

165408376320 is a wasteful number, since it uses less digits than its factorization.

165408376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 165408376320 in words is "one hundred sixty-five billion, four hundred eight million, three hundred seventy-six thousand, three hundred twenty".