12510332640 has 576 divisors, whose sum is σ = 51266779200. Its totient is φ = 2744451072.

The previous prime is 12510332599. The next prime is 12510332647. The reversal of 12510332640 is 4623301521.

12510332640 is a `hidden beast` number, since 1 + 2 + 5 + 10 + 3 + 3 + 2 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12510332647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6045526 + ... + 6047594.

It is an arithmetic number, because the mean of its divisors is an integer number (89004825).

Almost surely, 2^12510332640 is an apocalyptic number.

12510332640 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 12510332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25633389600).

12510332640 is an abundant number, since it is smaller than the sum of its proper divisors (38756446560).

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

12510332640 is a wasteful number, since it uses less digits than its factorization.

12510332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 12510332640 in words is "twelve billion, five hundred ten million, three hundred thirty-two thousand, six hundred forty".