12973104013680 has 80 divisors (see below), whose sum is σ = 44685136054560. Its totient is φ = 3459494403072.

The previous prime is 12973104013651. The next prime is 12973104013699. The reversal of 12973104013680 is 8631040137921.

12973104013680 is a `hidden beast` number, since 1 + 2 + 97 + 310 + 40 + 136 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 3003031177 + ... + 3003035496.

It is an arithmetic number, because the mean of its divisors is an integer number (558564200682).

Almost surely, 2^{12973104013680} is an apocalyptic number.

12973104013680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12973104013680 is an abundant number, since it is smaller than the sum of its proper divisors (31712032040880).

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

12973104013680 is a wasteful number, since it uses less digits than its factorization.

12973104013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006066695 (or 6006066683 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12973104013680 in words is "twelve trillion, nine hundred seventy-three billion, one hundred four million, thirteen thousand, six hundred eighty".