230077532160 has 2016 divisors, whose sum is σ = 1047023129880. Its totient is φ = 48157949952.

The previous prime is 230077532117. The next prime is 230077532171. The reversal of 230077532160 is 61235770032.

230077532160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 228285195264 + 1792336896 = 477792^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6218311662 + ... + 6218311698.

Almost surely, 2^230077532160 is an apocalyptic number.

230077532160 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 230077532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523511564940).

230077532160 is an abundant number, since it is smaller than the sum of its proper divisors (816945597720).

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

230077532160 is an equidigital number, since it uses as much as digits as its factorization.

230077532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 230077532160 in words is "two hundred thirty billion, seventy-seven million, five hundred thirty-two thousand, one hundred sixty".