12973685760 has 880 divisors, whose sum is σ = 54927069120. Its totient is φ = 2866544640.

The previous prime is 12973685743. The next prime is 12973685867. The reversal of 12973685760 is 6758637921.

12973685760 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 3 + 68 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12973685697 and 12973685706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119024586 + ... + 119024694.

It is an arithmetic number, because the mean of its divisors is an integer number (62417124).

Almost surely, 2^12973685760 is an apocalyptic number.

12973685760 is a gapful number since it is divisible by the number (10) 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 12973685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27463534560).

12973685760 is an abundant number, since it is smaller than the sum of its proper divisors (41953383360).

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

12973685760 is a wasteful number, since it uses less digits than its factorization.

12973685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

It can be divided in two parts, 129736 and 85760, that added together give a triangular number (215496 = T₆₅₆).

The spelling of 12973685760 in words is "twelve billion, nine hundred seventy-three million, six hundred eighty-five thousand, seven hundred sixty".