12480527312640 has 576 divisors, whose sum is σ = 46641463680000. Its totient is φ = 3151491121152.

The previous prime is 12480527312611. The next prime is 12480527312663. The reversal of 12480527312640 is 4621372508421.

12480527312640 is a `hidden beast` number, since 1 + 2 + 4 + 80 + 527 + 3 + 1 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 2277881421 + ... + 2277886899.

Almost surely, 2^{12480527312640} is an apocalyptic number.

12480527312640 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 12480527312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23320731840000).

12480527312640 is an abundant number, since it is smaller than the sum of its proper divisors (34160936367360).

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

12480527312640 is a wasteful number, since it uses less digits than its factorization.

12480527312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8997 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12480527312640 in words is "twelve trillion, four hundred eighty billion, five hundred twenty-seven million, three hundred twelve thousand, six hundred forty".