230512957920 has 768 divisors, whose sum is σ = 996323328000. Its totient is φ = 49583923200.

The previous prime is 230512957907. The next prime is 230512957931. The reversal of 230512957920 is 29759215032.

230512957920 is a `hidden beast` number, since 2 + 3 + 0 + 51 + 2 + 9 + 579 + 20 = 666.

230512957920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25185345 + ... + 25194495.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296000).

Almost surely, 2^230512957920 is an apocalyptic number.

230512957920 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 230512957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498161664000).

230512957920 is an abundant number, since it is smaller than the sum of its proper divisors (765810370080).

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

230512957920 is a wasteful number, since it uses less digits than its factorization.

230512957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 230512957920 in words is "two hundred thirty billion, five hundred twelve million, nine hundred fifty-seven thousand, nine hundred twenty".