230172775560 has 768 divisors, whose sum is σ = 942932390400. Its totient is φ = 47405481984.

The previous prime is 230172775519. The next prime is 230172775577. The reversal of 230172775560 is 65577271032.

230172775560 is a `hidden beast` number, since 2 + 3 + 0 + 17 + 2 + 7 + 75 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 260670879 + ... + 260671761.

It is an arithmetic number, because the mean of its divisors is an integer number (1227776550).

Almost surely, 2^230172775560 is an apocalyptic number.

230172775560 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 230172775560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471466195200).

230172775560 is an abundant number, since it is smaller than the sum of its proper divisors (712759614840).

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

230172775560 is a wasteful number, since it uses less digits than its factorization.

230172775560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 230172775560 in words is "two hundred thirty billion, one hundred seventy-two million, seven hundred seventy-five thousand, five hundred sixty".