12493764128880 has 240 divisors, whose sum is σ = 44414483050080. Its totient is φ = 3141976061952.

The previous prime is 12493764128809. The next prime is 12493764128939. The reversal of 12493764128880 is 8882146739421.

It is a happy number.

12493764128880 is a `hidden beast` number, since 1 + 2 + 493 + 7 + 6 + 41 + 28 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6059839 + ... + 7855518.

It is an arithmetic number, because the mean of its divisors is an integer number (185060346042).

Almost surely, 2^{12493764128880} is an apocalyptic number.

12493764128880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12493764128880 is an abundant number, since it is smaller than the sum of its proper divisors (31920718921200).

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

12493764128880 is a wasteful number, since it uses less digits than its factorization.

12493764128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915448 (or 13915439 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 12493764128880 in words is "twelve trillion, four hundred ninety-three billion, seven hundred sixty-four million, one hundred twenty-eight thousand, eight hundred eighty".