232205000580990 has 96 divisors (see below), whose sum is σ = 604895294016000. Its totient is φ = 61802176812480.

The previous prime is 232205000580989. The next prime is 232205000581187. The reversal of 232205000580990 is 99085000502232.

232205000580990 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 0 + 500 + 0 + 58 + 0 + 9 + 90 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211372351 + ... + 212468069.

It is an arithmetic number, because the mean of its divisors is an integer number (6300992646000).

Almost surely, 2^{232205000580990} is an apocalyptic number.

232205000580990 is an abundant number, since it is smaller than the sum of its proper divisors (372690293435010).

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

232205000580990 is a wasteful number, since it uses less digits than its factorization.

232205000580990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100262 (or 1100259 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 232205000580990 in words is "two hundred thirty-two trillion, two hundred five billion, five hundred eighty thousand, nine hundred ninety".