230140872000 has 896 divisors, whose sum is σ = 931956480000. Its totient is φ = 55240704000.

The previous prime is 230140871993. The next prime is 230140872019. The reversal of 230140872000 is 278041032.

230140872000 is a `hidden beast` number, since 230 + 1 + 408 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 115127001 + ... + 115128999.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130000).

Almost surely, 2^230140872000 is an apocalyptic number.

230140872000 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 230140872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240000).

230140872000 is an abundant number, since it is smaller than the sum of its proper divisors (701815608000).

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

230140872000 is a wasteful number, since it uses less digits than its factorization.

230140872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 230140872000 in words is "two hundred thirty billion, one hundred forty million, eight hundred seventy-two thousand".