12649882752 has 320 divisors, whose sum is σ = 40916198400. Its totient is φ = 3856398336.

The previous prime is 12649882709. The next prime is 12649882753. The reversal of 12649882752 is 25728894621.

12649882752 is a `hidden beast` number, since 1 + 2 + 6 + 498 + 82 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12649882753) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17117199 + ... + 17117937.

It is an arithmetic number, because the mean of its divisors is an integer number (127863120).

Almost surely, 2^12649882752 is an apocalyptic number.

12649882752 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 12649882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458099200).

12649882752 is an abundant number, since it is smaller than the sum of its proper divisors (28266315648).

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

12649882752 is a wasteful number, since it uses less digits than its factorization.

12649882752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 884 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 12649882752 in words is "twelve billion, six hundred forty-nine million, eight hundred eighty-two thousand, seven hundred fifty-two".