12680478720 has 1080 divisors, whose sum is σ = 57107376144. Its totient is φ = 2675441664.

The previous prime is 12680478691. The next prime is 12680478739. The reversal of 12680478720 is 2787408621.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 975421434 + ... + 975421446.

Almost surely, 2^12680478720 is an apocalyptic number.

12680478720 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 12680478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28553688072).

12680478720 is an abundant number, since it is smaller than the sum of its proper divisors (44426897424).

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

12680478720 is an frugal number, since it uses more digits than its factorization.

12680478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12680478720 in words is "twelve billion, six hundred eighty million, four hundred seventy-eight thousand, seven hundred twenty".