13426688862720 has 960 divisors, whose sum is σ = 56175537749760. Its totient is φ = 2895210086400.

The previous prime is 13426688862677. The next prime is 13426688862733. The reversal of 13426688862720 is 2726888662431.

13426688862720 is a `hidden beast` number, since 1 + 3 + 426 + 6 + 8 + 88 + 62 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 738492030 + ... + 738510210.

It is an arithmetic number, because the mean of its divisors is an integer number (58516185156).

Almost surely, 2^{13426688862720} is an apocalyptic number.

13426688862720 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 13426688862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087768874880).

13426688862720 is an abundant number, since it is smaller than the sum of its proper divisors (42748848887040).

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

13426688862720 is a wasteful number, since it uses less digits than its factorization.

13426688862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18477 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 13426688862720 in words is "thirteen trillion, four hundred twenty-six billion, six hundred eighty-eight million, eight hundred sixty-two thousand, seven hundred twenty".