12776006960 has 160 divisors (see below), whose sum is σ = 30855168000. Its totient is φ = 4917749760.

The previous prime is 12776006951. The next prime is 12776006987. The reversal of 12776006960 is 6960067721.

It is a Cunningham number, because it is equal to 113031²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64200941 + ... + 64201139.

It is an arithmetic number, because the mean of its divisors is an integer number (192844800).

Almost surely, 2^12776006960 is an apocalyptic number.

12776006960 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 12776006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584000).

12776006960 is an abundant number, since it is smaller than the sum of its proper divisors (18079161040).

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

12776006960 is a wasteful number, since it uses less digits than its factorization.

12776006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 12776006960 in words is "twelve billion, seven hundred seventy-six million, six thousand, nine hundred sixty".