13581242099712 has 672 divisors, whose sum is σ = 48555576800640. Its totient is φ = 3711578112000.

The previous prime is 13581242099707. The next prime is 13581242099731. The reversal of 13581242099712 is 21799024218531.

13581242099712 is a `hidden beast` number, since 1 + 3 + 58 + 12 + 420 + 99 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×13581242099712² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 240343462 + ... + 240399962.

It is an arithmetic number, because the mean of its divisors is an integer number (72255322620).

Almost surely, 2^{13581242099712} is an apocalyptic number.

13581242099712 is a gapful number since it is divisible by the number (12) 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 13581242099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24277788400320).

13581242099712 is an abundant number, since it is smaller than the sum of its proper divisors (34974334700928).

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

13581242099712 is an frugal number, since it uses more digits than its factorization.

13581242099712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56571 (or 56536 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 13581242099712 in words is "thirteen trillion, five hundred eighty-one billion, two hundred forty-two million, ninety-nine thousand, seven hundred twelve".