165401772997824 has 1120 divisors, whose sum is σ = 572853238848000. Its totient is φ = 46694134333440.

The previous prime is 165401772997817. The next prime is 165401772997841. The reversal of 165401772997824 is 428799277104561.

165401772997824 is a `hidden beast` number, since 1 + 6 + 540 + 1 + 7 + 7 + 2 + 9 + 9 + 78 + 2 + 4 = 666.

165401772997824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7820774002 + ... + 7820795150.

Almost surely, 2^{165401772997824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165401772997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286426619424000).

165401772997824 is an abundant number, since it is smaller than the sum of its proper divisors (407451465850176).

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

165401772997824 is a wasteful number, since it uses less digits than its factorization.

165401772997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21363 (or 21344 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 165401772997824 in words is "one hundred sixty-five trillion, four hundred one billion, seven hundred seventy-two million, nine hundred ninety-seven thousand, eight hundred twenty-four".