230589082900 has 648 divisors, whose sum is σ = 632839995648. Its totient is φ = 72669696000.

The previous prime is 230589082891. The next prime is 230589082939. The reversal of 230589082900 is 9280985032.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3780148870 + ... + 3780148930.

Almost surely, 2^230589082900 is an apocalyptic number.

230589082900 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 230589082900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316419997824).

230589082900 is an abundant number, since it is smaller than the sum of its proper divisors (402250912748).

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

230589082900 is a wasteful number, since it uses less digits than its factorization.

230589082900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 230589082900 in words is "two hundred thirty billion, five hundred eighty-nine million, eighty-two thousand, nine hundred".