12826247616 has 896 divisors, whose sum is σ = 50387097600. Its totient is φ = 3144241152.

The previous prime is 12826247527. The next prime is 12826247641. The reversal of 12826247616 is 61674262821.

12826247616 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 6 + 24 + 7 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242004646 + ... + 242004698.

It is an arithmetic number, because the mean of its divisors is an integer number (56235600).

Almost surely, 2^12826247616 is an apocalyptic number.

12826247616 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 12826247616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25193548800).

12826247616 is an abundant number, since it is smaller than the sum of its proper divisors (37560849984).

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

12826247616 is an equidigital number, since it uses as much as digits as its factorization.

12826247616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 12826247616 in words is "twelve billion, eight hundred twenty-six million, two hundred forty-seven thousand, six hundred sixteen".