12826920766560 has 384 divisors, whose sum is σ = 42179751976320. Its totient is φ = 3272494546944.

The previous prime is 12826920766537. The next prime is 12826920766579. The reversal of 12826920766560 is 6566702962821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12826920766494 and 12826920766503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100356252 + ... + 1100367908.

It is an arithmetic number, because the mean of its divisors is an integer number (109843104105).

Almost surely, 2^{12826920766560} is an apocalyptic number.

12826920766560 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 12826920766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089875988160).

12826920766560 is an abundant number, since it is smaller than the sum of its proper divisors (29352831209760).

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

12826920766560 is a wasteful number, since it uses less digits than its factorization.

12826920766560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12418 (or 12410 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 12826920766560 in words is "twelve trillion, eight hundred twenty-six billion, nine hundred twenty million, seven hundred sixty-six thousand, five hundred sixty".