165740160700800 has 3072 divisors, whose sum is σ = 755480217600000. Its totient is φ = 35391541248000.

The previous prime is 165740160700729. The next prime is 165740160700811. The reversal of 165740160700800 is 8007061047561.

165740160700800 is a `hidden beast` number, since 1 + 6 + 574 + 0 + 1 + 6 + 0 + 70 + 0 + 8 + 0 + 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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26642041690 + ... + 26642047910.

It is an arithmetic number, because the mean of its divisors is an integer number (245924550000).

Almost surely, 2^{165740160700800} is an apocalyptic number.

165740160700800 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 165740160700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377740108800000).

165740160700800 is an abundant number, since it is smaller than the sum of its proper divisors (589740056899200).

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

165740160700800 is a wasteful number, since it uses less digits than its factorization.

165740160700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 165740160700800 in words is "one hundred sixty-five trillion, seven hundred forty billion, one hundred sixty million, seven hundred thousand, eight hundred".