12610413824 has 72 divisors (see below), whose sum is σ = 26091230760. Its totient is φ = 6075711488.

The previous prime is 12610413821. The next prime is 12610413857. The reversal of 12610413824 is 42831401621.

It can be written as a sum of positive squares in 4 ways, for example, as 1536640000 + 11073773824 = 39200^2 + 105232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12610413821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4579232 + ... + 4581984.

It is an arithmetic number, because the mean of its divisors is an integer number (362378205).

Almost surely, 2^12610413824 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 12610413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045615380).

12610413824 is an abundant number, since it is smaller than the sum of its proper divisors (13480816936).

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

12610413824 is an equidigital number, since it uses as much as digits as its factorization.

12610413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 12610413824 in words is "twelve billion, six hundred ten million, four hundred thirteen thousand, eight hundred twenty-four".