285976765122160 has 640 divisors, whose sum is σ = 826419605760000. Its totient is φ = 89846825287680.

The previous prime is 285976765122133. The next prime is 285976765122163. The reversal of 285976765122160 is 61221567679582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285976765122163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50268368596 + ... + 50268374284.

It is an arithmetic number, because the mean of its divisors is an integer number (1291280634000).

Almost surely, 2^{285976765122160} is an apocalyptic number.

285976765122160 is a gapful number since it is divisible by the number (20) 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 285976765122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413209802880000).

285976765122160 is an abundant number, since it is smaller than the sum of its proper divisors (540442840637840).

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

285976765122160 is a wasteful number, since it uses less digits than its factorization.

285976765122160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 67.

The spelling of 285976765122160 in words is "two hundred eighty-five trillion, nine hundred seventy-six billion, seven hundred sixty-five million, one hundred twenty-two thousand, one hundred sixty".