230190802560 has 320 divisors, whose sum is σ = 848576678400. Its totient is φ = 59403663360.

The previous prime is 230190802559. The next prime is 230190802703. The reversal of 230190802560 is 65208091032.

230190802560 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 90 + 8 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1535421 + ... + 1678659.

It is an arithmetic number, because the mean of its divisors is an integer number (2651802120).

Almost surely, 2^230190802560 is an apocalyptic number.

230190802560 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 230190802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424288339200).

230190802560 is an abundant number, since it is smaller than the sum of its proper divisors (618385875840).

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

230190802560 is a wasteful number, since it uses less digits than its factorization.

230190802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143301 (or 143280 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 230190802560 its reverse (65208091032), we get a palindrome (295398893592).

The spelling of 230190802560 in words is "two hundred thirty billion, one hundred ninety million, eight hundred two thousand, five hundred sixty".