160097895936000 has 2496 divisors, whose sum is σ = 655481134264320. Its totient is φ = 37238538240000.

The previous prime is 160097895935983. The next prime is 160097895936037. The reversal of 160097895936000 is 639598790061.

160097895936000 is a `hidden beast` number, since 1 + 60 + 0 + 97 + 89 + 59 + 360 + 0 + 0 = 666.

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, 218414591634 + ... + 218414592366.

It is an arithmetic number, because the mean of its divisors is an integer number (262612633920).

Almost surely, 2^{160097895936000} is an apocalyptic number.

160097895936000 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 160097895936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327740567132160).

160097895936000 is an abundant number, since it is smaller than the sum of its proper divisors (495383238328320).

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

160097895936000 is a wasteful number, since it uses less digits than its factorization.

160097895936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 160097895936000 in words is "one hundred sixty trillion, ninety-seven billion, eight hundred ninety-five million, nine hundred thirty-six thousand".