13696854589440 has 1360 divisors, whose sum is σ = 54865557242496. Its totient is φ = 3240257126400.

The previous prime is 13696854589373. The next prime is 13696854589469. The reversal of 13696854589440 is 4498545869631.

13696854589440 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 6 + 85 + 458 + 94 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12554403295 + ... + 12554404385.

Almost surely, 2^{13696854589440} is an apocalyptic number.

13696854589440 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 13696854589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432778621248).

13696854589440 is an abundant number, since it is smaller than the sum of its proper divisors (41168702653056).

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

13696854589440 is an equidigital number, since it uses as much as digits as its factorization.

13696854589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 13696854589440 in words is "thirteen trillion, six hundred ninety-six billion, eight hundred fifty-four million, five hundred eighty-nine thousand, four hundred forty".