12750416640 has 432 divisors, whose sum is σ = 50020195680. Its totient is φ = 2972712960.

The previous prime is 12750416633. The next prime is 12750416713. The reversal of 12750416640 is 4661405721.

12750416640 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 0 + 4 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12750416595 and 12750416604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2843200 + ... + 2847680.

It is an arithmetic number, because the mean of its divisors is an integer number (115787490).

Almost surely, 2^12750416640 is an apocalyptic number.

12750416640 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 12750416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25010097840).

12750416640 is an abundant number, since it is smaller than the sum of its proper divisors (37269779040).

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

12750416640 is a wasteful number, since it uses less digits than its factorization.

12750416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12750416640 in words is "twelve billion, seven hundred fifty million, four hundred sixteen thousand, six hundred forty".