230910082560 has 1600 divisors, whose sum is σ = 941146905600. Its totient is φ = 53843263488.

The previous prime is 230910082489. The next prime is 230910082573. The reversal of 230910082560 is 65280019032.

230910082560 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 10 + 0 + 82 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4912980457 + ... + 4912980503.

It is an arithmetic number, because the mean of its divisors is an integer number (588216816).

Almost surely, 2^230910082560 is an apocalyptic number.

230910082560 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 230910082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470573452800).

230910082560 is an abundant number, since it is smaller than the sum of its proper divisors (710236823040).

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

230910082560 is a wasteful number, since it uses less digits than its factorization.

230910082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 230910082560 in words is "two hundred thirty billion, nine hundred ten million, eighty-two thousand, five hundred sixty".