232201582018560 has 2688 divisors, whose sum is σ = 1045995836497920. Its totient is φ = 48066220523520.

The previous prime is 232201582018507. The next prime is 232201582018663. The reversal of 232201582018560 is 65810285102232.

232201582018560 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 0 + 1 + 5 + 82 + 0 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 882895748989 + ... + 882895749251.

It is an arithmetic number, because the mean of its divisors is an integer number (389135355840).

Almost surely, 2^{232201582018560} is an apocalyptic number.

232201582018560 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 232201582018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522997918248960).

232201582018560 is an abundant number, since it is smaller than the sum of its proper divisors (813794254479360).

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

232201582018560 is an frugal number, since it uses more digits than its factorization.

232201582018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 232201582018560 in words is "two hundred thirty-two trillion, two hundred one billion, five hundred eighty-two million, eighteen thousand, five hundred sixty".