13675491139680 has 384 divisors, whose sum is σ = 49372641763200. Its totient is φ = 3532731604992.

The previous prime is 13675491139669. The next prime is 13675491139691. The reversal of 13675491139680 is 8693119457631.

It is a happy number.

13675491139680 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 5 + 491 + 139 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13675491139669) and next prime (13675491139691).

It is a super-2 number, since 2×13675491139680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36416554 + ... + 36790166.

It is an arithmetic number, because the mean of its divisors is an integer number (128574587925).

Almost surely, 2^{13675491139680} is an apocalyptic number.

13675491139680 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 13675491139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24686320881600).

13675491139680 is an abundant number, since it is smaller than the sum of its proper divisors (35697150623520).

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

13675491139680 is a wasteful number, since it uses less digits than its factorization.

13675491139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373903 (or 373889 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 13675491139680 in words is "thirteen trillion, six hundred seventy-five billion, four hundred ninety-one million, one hundred thirty-nine thousand, six hundred eighty".