12770406311664 has 80 divisors (see below), whose sum is σ = 33446167058304. Its totient is φ = 4198149408000.

The previous prime is 12770406311651. The next prime is 12770406311687. The reversal of 12770406311664 is 46611360407721.

12770406311664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531987 + ... + 5081714.

Almost surely, 2^{12770406311664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12770406311664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16723083529152).

12770406311664 is an abundant number, since it is smaller than the sum of its proper divisors (20675760746640).

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

12770406311664 is a wasteful number, since it uses less digits than its factorization.

12770406311664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614366 (or 5614360 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 12770406311664 in words is "twelve trillion, seven hundred seventy billion, four hundred six million, three hundred eleven thousand, six hundred sixty-four".