12517625640 has 256 divisors, whose sum is σ = 43042648320. Its totient is φ = 2884976640.

The previous prime is 12517625621. The next prime is 12517625669. The reversal of 12517625640 is 4652671521.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5594602 + ... + 5596838.

It is an arithmetic number, because the mean of its divisors is an integer number (168135345).

Almost surely, 2^12517625640 is an apocalyptic number.

12517625640 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 12517625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21521324160).

12517625640 is an abundant number, since it is smaller than the sum of its proper divisors (30525022680).

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

12517625640 is a wasteful number, since it uses less digits than its factorization.

12517625640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 12517625640 in words is "twelve billion, five hundred seventeen million, six hundred twenty-five thousand, six hundred forty".