13686935286240 has 384 divisors, whose sum is σ = 50018493772800. Its totient is φ = 3488965539840.

The previous prime is 13686935286181. The next prime is 13686935286259. The reversal of 13686935286240 is 4268253968631.

13686935286240 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 6 + 9 + 3 + 528 + 62 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161020071 + ... + 161105049.

It is an arithmetic number, because the mean of its divisors is an integer number (130256494200).

Almost surely, 2^{13686935286240} is an apocalyptic number.

13686935286240 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 13686935286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009246886400).

13686935286240 is an abundant number, since it is smaller than the sum of its proper divisors (36331558486560).

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

13686935286240 is a wasteful number, since it uses less digits than its factorization.

13686935286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86647 (or 86633 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 13686935286240 in words is "thirteen trillion, six hundred eighty-six billion, nine hundred thirty-five million, two hundred eighty-six thousand, two hundred forty".