12540713640 has 256 divisors, whose sum is σ = 48742041600. Its totient is φ = 2506650624.

The previous prime is 12540713639. The next prime is 12540713641. The reversal of 12540713640 is 4631704521.

It is an interprime number because it is at equal distance from previous prime (12540713639) and next prime (12540713641).

It is not an unprimeable number, because it can be changed into a prime (12540713641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177259 + ... + 237701.

It is an arithmetic number, because the mean of its divisors is an integer number (190398600).

Almost surely, 2^12540713640 is an apocalyptic number.

12540713640 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 12540713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371020800).

12540713640 is an abundant number, since it is smaller than the sum of its proper divisors (36201327960).

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

12540713640 is a wasteful number, since it uses less digits than its factorization.

12540713640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60496 (or 60492 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 12540713640 in words is "twelve billion, five hundred forty million, seven hundred thirteen thousand, six hundred forty".