12770896320 has 896 divisors, whose sum is σ = 57078067200. Its totient is φ = 2615721984.

The previous prime is 12770896301. The next prime is 12770896321. The reversal of 12770896320 is 2369807721.

12770896320 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 0 + 8 + 9 + 632 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12770896321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29090661 + ... + 29091099.

It is an arithmetic number, because the mean of its divisors is an integer number (63703200).

Almost surely, 2^12770896320 is an apocalyptic number.

12770896320 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 12770896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28539033600).

12770896320 is an abundant number, since it is smaller than the sum of its proper divisors (44307170880).

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

12770896320 is a wasteful number, since it uses less digits than its factorization.

12770896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12770896320 in words is "twelve billion, seven hundred seventy million, eight hundred ninety-six thousand, three hundred twenty".