13481205865920 has 1344 divisors, whose sum is σ = 56002383230976. Its totient is φ = 3056612474880.

The previous prime is 13481205865871. The next prime is 13481205865931. The reversal of 13481205865920 is 2956850218431.

13481205865920 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 2 + 0 + 586 + 59 + 2 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 807684775 + ... + 807701465.

It is an arithmetic number, because the mean of its divisors is an integer number (41668439904).

Almost surely, 2^{13481205865920} is an apocalyptic number.

13481205865920 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 13481205865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28001191615488).

13481205865920 is an abundant number, since it is smaller than the sum of its proper divisors (42521177365056).

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

13481205865920 is a wasteful number, since it uses less digits than its factorization.

13481205865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16800 (or 16778 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 13481205865920 in words is "thirteen trillion, four hundred eighty-one billion, two hundred five million, eight hundred sixty-five thousand, nine hundred twenty".