165255777120 has 1152 divisors, whose sum is σ = 670718361600. Its totient is φ = 33965568000.

The previous prime is 165255777103. The next prime is 165255777149. The reversal of 165255777120 is 21777552561.

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

It is a self number, because there is not a number n which added to its sum of digits gives 165255777120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1094409045 + ... + 1094409195.

It is an arithmetic number, because the mean of its divisors is an integer number (582220800).

Almost surely, 2^165255777120 is an apocalyptic number.

165255777120 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 165255777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335359180800).

165255777120 is an abundant number, since it is smaller than the sum of its proper divisors (505462584480).

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

165255777120 is a wasteful number, since it uses less digits than its factorization.

165255777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 48.

The spelling of 165255777120 in words is "one hundred sixty-five billion, two hundred fifty-five million, seven hundred seventy-seven thousand, one hundred twenty".