165660235776000 has 2400 divisors, whose sum is σ = 709673302001664. Its totient is φ = 37663211520000.

The previous prime is 165660235775999. The next prime is 165660235776023. The reversal of 165660235776000 is 677532066561.

165660235776000 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 6 + 0 + 2 + 3 + 577 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×165660235776000³ (a number of 44 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 384362495785 + ... + 384362496215.

Almost surely, 2^{165660235776000} is an apocalyptic number.

165660235776000 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 165660235776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354836651000832).

165660235776000 is an abundant number, since it is smaller than the sum of its proper divisors (544013066225664).

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

165660235776000 is an frugal number, since it uses more digits than its factorization.

165660235776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 165660235776000 in words is "one hundred sixty-five trillion, six hundred sixty billion, two hundred thirty-five million, seven hundred seventy-six thousand".