12507756338688 has 320 divisors, whose sum is σ = 38026126797120. Its totient is φ = 3619235561472.

The previous prime is 12507756338687. The next prime is 12507756338729. The reversal of 12507756338688 is 88683365770521.

It is a super-2 number, since 2×12507756338688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12507756338683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440260228 + ... + 440288636.

It is an arithmetic number, because the mean of its divisors is an integer number (118831646241).

Almost surely, 2^{12507756338688} 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 12507756338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19013063398560).

12507756338688 is an abundant number, since it is smaller than the sum of its proper divisors (25518370458432).

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

12507756338688 is a wasteful number, since it uses less digits than its factorization.

12507756338688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29757 (or 29741 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 69.

The spelling of 12507756338688 in words is "twelve trillion, five hundred seven billion, seven hundred fifty-six million, three hundred thirty-eight thousand, six hundred eighty-eight".