12500517744 has 480 divisors, whose sum is σ = 43116615360. Its totient is φ = 3356559360.

The previous prime is 12500517721. The next prime is 12500517751. The reversal of 12500517744 is 44771500521.

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 = 12500517699 and 12500517708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72257242 + ... + 72257414.

It is an arithmetic number, because the mean of its divisors is an integer number (89826282).

Almost surely, 2^12500517744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12500517744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558307680).

12500517744 is an abundant number, since it is smaller than the sum of its proper divisors (30616097616).

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

12500517744 is a wasteful number, since it uses less digits than its factorization.

12500517744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 12500517744 in words is "twelve billion, five hundred million, five hundred seventeen thousand, seven hundred forty-four".