12761527680 has 192 divisors, whose sum is σ = 48073493520. Its totient is φ = 3093688320.

The previous prime is 12761527651. The next prime is 12761527711. The reversal of 12761527680 is 8672516721.

12761527680 is a `hidden beast` number, since 1 + 2 + 7 + 61 + 527 + 68 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37347 + ... + 164066.

Almost surely, 2^12761527680 is an apocalyptic number.

12761527680 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 12761527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24036746760).

12761527680 is an abundant number, since it is smaller than the sum of its proper divisors (35311965840).

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

12761527680 is a wasteful number, since it uses less digits than its factorization.

12761527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201449 (or 201434 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12761527680 in words is "twelve billion, seven hundred sixty-one million, five hundred twenty-seven thousand, six hundred eighty".