12586840923888 has 480 divisors, whose sum is σ = 44090199189504. Its totient is φ = 3256496640000.

The previous prime is 12586840923863. The next prime is 12586840923911. The reversal of 12586840923888 is 88832904868521.

It is a happy number.

12586840923888 is a `hidden beast` number, since 1 + 2 + 5 + 86 + 84 + 0 + 92 + 388 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3636762478 + ... + 3636765938.

Almost surely, 2^{12586840923888} is an apocalyptic number.

12586840923888 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 12586840923888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22045099594752).

12586840923888 is an abundant number, since it is smaller than the sum of its proper divisors (31503358265616).

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

12586840923888 is a wasteful number, since it uses less digits than its factorization.

12586840923888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 12586840923888 in words is "twelve trillion, five hundred eighty-six billion, eight hundred forty million, nine hundred twenty-three thousand, eight hundred eighty-eight".