13595454013680 has 1200 divisors, whose sum is σ = 62806097027520. Its totient is φ = 2658832957440.

The previous prime is 13595454013679. The next prime is 13595454013703. The reversal of 13595454013680 is 8631045459531.

13595454013680 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 5 + 4 + 540 + 13 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 93232666 + ... + 93378374.

Almost surely, 2^{13595454013680} is an apocalyptic number.

13595454013680 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 13595454013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31403048513760).

13595454013680 is an abundant number, since it is smaller than the sum of its proper divisors (49210643013840).

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

13595454013680 is a wasteful number, since it uses less digits than its factorization.

13595454013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145780 (or 145754 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 13595454013680 in words is "thirteen trillion, five hundred ninety-five billion, four hundred fifty-four million, thirteen thousand, six hundred eighty".