230521978552320 has 3264 divisors, whose sum is σ = 1056089839633920. Its totient is φ = 45155339993088.

The previous prime is 230521978552303. The next prime is 230521978552363. The reversal of 230521978552320 is 23255879125032.

230521978552320 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 2 + 1 + 97 + 8 + 5 + 523 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270248509014 + ... + 270248509866.

Almost surely, 2^{230521978552320} is an apocalyptic number.

230521978552320 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 230521978552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528044919816960).

230521978552320 is an abundant number, since it is smaller than the sum of its proper divisors (825567861081600).

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

230521978552320 is a wasteful number, since it uses less digits than its factorization.

230521978552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 230521978552320 in words is "two hundred thirty trillion, five hundred twenty-one billion, nine hundred seventy-eight million, five hundred fifty-two thousand, three hundred twenty".