230932089158400 has 2160 divisors, whose sum is σ = 988346497442304. Its totient is φ = 52110915010560.

The previous prime is 230932089158389. The next prime is 230932089158417. The reversal of 230932089158400 is 4851980239032.

230932089158400 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 3 + 2 + 0 + 89 + 158 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

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, 261531244359 + ... + 261531245241.

Almost surely, 2^{230932089158400} is an apocalyptic number.

230932089158400 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 230932089158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494173248721152).

230932089158400 is an abundant number, since it is smaller than the sum of its proper divisors (757414408283904).

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

230932089158400 is an equidigital number, since it uses as much as digits as its factorization.

230932089158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 230932089158400 in words is "two hundred thirty trillion, nine hundred thirty-two billion, eighty-nine million, one hundred fifty-eight thousand, four hundred".