12806783042592 has 1536 divisors, whose sum is σ = 48920450826240. Its totient is φ = 2828722176000.

The previous prime is 12806783042563. The next prime is 12806783042657. The reversal of 12806783042592 is 29524038760821.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5255141598 + ... + 5255144034.

It is an arithmetic number, because the mean of its divisors is an integer number (31849251840).

It is a 1-persistent number, because it is pandigital, but 2⋅12806783042592 = 25613566085184 is not.

Almost surely, 2^{12806783042592} is an apocalyptic number.

12806783042592 is a gapful number since it is divisible by the number (12) 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 12806783042592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24460225413120).

12806783042592 is an abundant number, since it is smaller than the sum of its proper divisors (36113667783648).

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

12806783042592 is a wasteful number, since it uses less digits than its factorization.

12806783042592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

It can be divided in two parts, 1280678 and 3042592, that added together give a triangular number (4323270 = T₂₉₄₀).

The spelling of 12806783042592 in words is "twelve trillion, eight hundred six billion, seven hundred eighty-three million, forty-two thousand, five hundred ninety-two".