230569279920 has 1200 divisors, whose sum is σ = 972777738240. Its totient is φ = 49550911488.

The previous prime is 230569279901. The next prime is 230569279933. The reversal of 230569279920 is 29972965032.

230569279920 is a `hidden beast` number, since 2 + 3 + 0 + 569 + 2 + 79 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2918598441 + ... + 2918598519.

Almost surely, 2^230569279920 is an apocalyptic number.

230569279920 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 230569279920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486388869120).

230569279920 is an abundant number, since it is smaller than the sum of its proper divisors (742208458320).

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

230569279920 is a wasteful number, since it uses less digits than its factorization.

230569279920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 230569279920 in words is "two hundred thirty billion, five hundred sixty-nine million, two hundred seventy-nine thousand, nine hundred twenty".