12785724720 has 320 divisors, whose sum is σ = 46539878400. Its totient is φ = 3226334976.

The previous prime is 12785724719. The next prime is 12785724751. The reversal of 12785724720 is 2742758721.

12785724720 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 572 + 4 + 72 + 0 = 666.

12785724720 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14815009 + ... + 14815871.

It is an arithmetic number, because the mean of its divisors is an integer number (145437120).

Almost surely, 2^12785724720 is an apocalyptic number.

12785724720 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 12785724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23269939200).

12785724720 is an abundant number, since it is smaller than the sum of its proper divisors (33754153680).

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

12785724720 is an equidigital number, since it uses as much as digits as its factorization.

12785724720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

It can be divided in two parts, 12785 and 724720, that added together give a triangular number (737505 = T₁₂₁₄).

The spelling of 12785724720 in words is "twelve billion, seven hundred eighty-five million, seven hundred twenty-four thousand, seven hundred twenty".