230819915520 has 144 divisors (see below), whose sum is σ = 819090239520. Its totient is φ = 61551968256.

The previous prime is 230819915509. The next prime is 230819915567. The reversal of 230819915520 is 25519918032.

230819915520 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 1 + 9 + 91 + 552 + 0 = 666.

230819915520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3304849 + ... + 3373968.

Almost surely, 2^230819915520 is an apocalyptic number.

230819915520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230819915520 is an abundant number, since it is smaller than the sum of its proper divisors (588270324000).

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

230819915520 is an equidigital number, since it uses as much as digits as its factorization.

230819915520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6678847 (or 6678827 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 230819915520 in words is "two hundred thirty billion, eight hundred nineteen million, nine hundred fifteen thousand, five hundred twenty".