165087648000 has 1296 divisors, whose sum is σ = 685654534656. Its totient is φ = 37785600000.

The previous prime is 165087647971. The next prime is 165087648013. The reversal of 165087648000 is 846780561.

It is a happy number.

165087648000 is a `hidden beast` number, since 1 + 6 + 508 + 7 + 64 + 80 + 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4026527980 + ... + 4026528020.

Almost surely, 2^165087648000 is an apocalyptic number.

165087648000 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 165087648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342827267328).

165087648000 is an abundant number, since it is smaller than the sum of its proper divisors (520566886656).

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

165087648000 is a wasteful number, since it uses less digits than its factorization.

165087648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 165087648000 in words is "one hundred sixty-five billion, eighty-seven million, six hundred forty-eight thousand".