12527348768640 has 256 divisors, whose sum is σ = 44371242849600. Its totient is φ = 3340359106560.

The previous prime is 12527348768621. The next prime is 12527348768723. The reversal of 12527348768640 is 4686784372521.

12527348768640 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 73 + 487 + 6 + 86 + 4 + 0 = 666.

It is a super-2 number, since 2×12527348768640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315046360 + ... + 315086120.

Almost surely, 2^{12527348768640} is an apocalyptic number.

12527348768640 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 12527348768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185621424800).

12527348768640 is an abundant number, since it is smaller than the sum of its proper divisors (31843894080960).

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

12527348768640 is a wasteful number, since it uses less digits than its factorization.

12527348768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58022 (or 58004 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 12527348768640 in words is "twelve trillion, five hundred twenty-seven billion, three hundred forty-eight million, seven hundred sixty-eight thousand, six hundred forty".