13581342627840 has 1152 divisors, whose sum is σ = 55663289398080. Its totient is φ = 3146319396864.

The previous prime is 13581342627829. The next prime is 13581342627847. The reversal of 13581342627840 is 4872624318531.

13581342627840 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 1 + 3 + 4 + 2 + 627 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13581342627847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549906372 + ... + 549931068.

Almost surely, 2^{13581342627840} is an apocalyptic number.

13581342627840 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 13581342627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27831644699040).

13581342627840 is an abundant number, since it is smaller than the sum of its proper divisors (42081946770240).

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

13581342627840 is a wasteful number, since it uses less digits than its factorization.

13581342627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24769 (or 24737 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 13581342627840 in words is "thirteen trillion, five hundred eighty-one billion, three hundred forty-two million, six hundred twenty-seven thousand, eight hundred forty".