12504781508688 has 240 divisors, whose sum is σ = 42632349926400. Its totient is φ = 3340061650944.

The previous prime is 12504781508657. The next prime is 12504781508699. The reversal of 12504781508688 is 88680518740521.

12504781508688 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 47 + 8 + 1 + 508 + 6 + 88 = 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 47 ways as a sum of consecutive naturals, for example, 104481 + ... + 5002047.

It is an arithmetic number, because the mean of its divisors is an integer number (177634791360).

Almost surely, 2^{12504781508688} is an apocalyptic number.

12504781508688 is a gapful number since it is divisible by the number (18) 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 12504781508688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21316174963200).

12504781508688 is an abundant number, since it is smaller than the sum of its proper divisors (30127568417712).

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

12504781508688 is a wasteful number, since it uses less digits than its factorization.

12504781508688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897754 (or 4897745 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 12504781508688 in words is "twelve trillion, five hundred four billion, seven hundred eighty-one million, five hundred eight thousand, six hundred eighty-eight".