12330553680 has 60 divisors (see below), whose sum is σ = 41410111860. Its totient is φ = 3288147456.

The previous prime is 12330553649. The next prime is 12330553687. The reversal of 12330553680 is 8635503321.

12330553680 is a `hidden beast` number, since 1 + 23 + 3 + 0 + 553 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1685266704 + 10645286976 = 41052^2 + 103176^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330553687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8562165 + ... + 8563604.

It is an arithmetic number, because the mean of its divisors is an integer number (690168531).

Almost surely, 2^12330553680 is an apocalyptic number.

12330553680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330553680 is an abundant number, since it is smaller than the sum of its proper divisors (29079558180).

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

12330553680 is a wasteful number, since it uses less digits than its factorization.

12330553680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17125788 (or 17125779 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12330553680 in words is "twelve billion, three hundred thirty million, five hundred fifty-three thousand, six hundred eighty".