12582309786816 has 672 divisors, whose sum is σ = 43012647731200. Its totient is φ = 3242138296320.

The previous prime is 12582309786793. The next prime is 12582309786869. The reversal of 12582309786816 is 61868790328521.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1012002936 + ... + 1012015368.

Almost surely, 2^{12582309786816} is an apocalyptic number.

12582309786816 is a gapful number since it is divisible by the number (16) 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 12582309786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506323865600).

12582309786816 is an abundant number, since it is smaller than the sum of its proper divisors (30430337944384).

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

12582309786816 is a wasteful number, since it uses less digits than its factorization.

12582309786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618 (or 12583 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 12582309786816 in words is "twelve trillion, five hundred eighty-two billion, three hundred nine million, seven hundred eighty-six thousand, eight hundred sixteen".