12740517504 has 192 divisors, whose sum is σ = 43072192800. Its totient is φ = 3563735040.

The previous prime is 12740517463. The next prime is 12740517509. The reversal of 12740517504 is 40571504721.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12740517509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126067 + ... + 203405.

Almost surely, 2^12740517504 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 12740517504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21536096400).

12740517504 is an abundant number, since it is smaller than the sum of its proper divisors (30331675296).

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

12740517504 is a wasteful number, since it uses less digits than its factorization.

12740517504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77383 (or 77368 counting only the distinct ones).

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

The spelling of 12740517504 in words is "twelve billion, seven hundred forty million, five hundred seventeen thousand, five hundred four".