230763409080960 has 1536 divisors, whose sum is σ = 893098895431680. Its totient is φ = 49603666083840.

The previous prime is 230763409080943. The next prime is 230763409081103. The reversal of 230763409080960 is 69080904367032.

It is a self number, because there is not a number n which added to its sum of digits gives 230763409080960.

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 191 ways as a sum of consecutive naturals, for example, 91174794895 + ... + 91174797425.

It is an arithmetic number, because the mean of its divisors is an integer number (581444593380).

Almost surely, 2^{230763409080960} is an apocalyptic number.

230763409080960 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 230763409080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446549447715840).

230763409080960 is an abundant number, since it is smaller than the sum of its proper divisors (662335486350720).

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

230763409080960 is a wasteful number, since it uses less digits than its factorization.

230763409080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 230763409080960 in words is "two hundred thirty trillion, seven hundred sixty-three billion, four hundred nine million, eighty thousand, nine hundred sixty".