12770913600 has 294 divisors, whose sum is σ = 47119393950. Its totient is φ = 3405265920.

The previous prime is 12770913581. The next prime is 12770913611. The reversal of 12770913600 is 631907721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9144576 + 12761769024 = 3024^2 + 112968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1160926 + ... + 1171874.

Almost surely, 2^12770913600 is an apocalyptic number.

12770913600 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 12770913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23559696975).

12770913600 is an abundant number, since it is smaller than the sum of its proper divisors (34348480350).

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

12770913600 is an equidigital number, since it uses as much as digits as its factorization.

12770913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 12770913600 in words is "twelve billion, seven hundred seventy million, nine hundred thirteen thousand, six hundred".