12510738240 has 896 divisors, whose sum is σ = 54663856128. Its totient is φ = 2340126720.

The previous prime is 12510738239. The next prime is 12510738241. The reversal of 12510738240 is 4283701521.

12510738240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12510738239) and next prime (12510738241).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12510738241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 45164982 + ... + 45165258.

It is an arithmetic number, because the mean of its divisors is an integer number (61008768).

Almost surely, 2^12510738240 is an apocalyptic number.

12510738240 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 12510738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27331928064).

12510738240 is an abundant number, since it is smaller than the sum of its proper divisors (42153117888).

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

12510738240 is a wasteful number, since it uses less digits than its factorization.

12510738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 12510738240 in words is "twelve billion, five hundred ten million, seven hundred thirty-eight thousand, two hundred forty".