165749068800 has 1320 divisors, whose sum is σ = 739573567040. Its totient is φ = 35831808000.

The previous prime is 165749068787. The next prime is 165749068843. The reversal of 165749068800 is 8860947561.

165749068800 is a `hidden beast` number, since 1 + 6 + 574 + 9 + 0 + 68 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 275788500 + ... + 275789100.

Almost surely, 2^165749068800 is an apocalyptic number.

165749068800 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 165749068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369786783520).

165749068800 is an abundant number, since it is smaller than the sum of its proper divisors (573824498240).

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

165749068800 is a wasteful number, since it uses less digits than its factorization.

165749068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 165749068800 in words is "one hundred sixty-five billion, seven hundred forty-nine million, sixty-eight thousand, eight hundred".