13381486968960 has 1024 divisors, whose sum is σ = 54482022144000. Its totient is φ = 3069890150400.

The previous prime is 13381486968929. The next prime is 13381486969013. The reversal of 13381486968960 is 6986968418331.

13381486968960 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 1 + 486 + 9 + 6 + 89 + 60 = 666.

It is a super-3 number, since 3×13381486968960³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4987507779 + ... + 4987510461.

It is an arithmetic number, because the mean of its divisors is an integer number (53205099750).

Almost surely, 2^{13381486968960} is an apocalyptic number.

13381486968960 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 13381486968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241011072000).

13381486968960 is an abundant number, since it is smaller than the sum of its proper divisors (41100535175040).

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

13381486968960 is a wasteful number, since it uses less digits than its factorization.

13381486968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 13381486968960 in words is "thirteen trillion, three hundred eighty-one billion, four hundred eighty-six million, nine hundred sixty-eight thousand, nine hundred sixty".