12505624976880 has 1280 divisors, whose sum is σ = 53626727669760. Its totient is φ = 2612998766592.

The previous prime is 12505624976869. The next prime is 12505624976893. The reversal of 12505624976880 is 8867942650521.

12505624976880 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 5 + 6 + 2 + 497 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10109639622 + ... + 10109640858.

It is an arithmetic number, because the mean of its divisors is an integer number (41895880992).

Almost surely, 2^{12505624976880} is an apocalyptic number.

12505624976880 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 12505624976880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26813363834880).

12505624976880 is an abundant number, since it is smaller than the sum of its proper divisors (41121102692880).

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

12505624976880 is a wasteful number, since it uses less digits than its factorization.

12505624976880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 12505624976880 in words is "twelve trillion, five hundred five billion, six hundred twenty-four million, nine hundred seventy-six thousand, eight hundred eighty".