13399642080000 has 4320 divisors, whose sum is σ = 61501136336640. Its totient is φ = 2866544640000.

The previous prime is 13399642079987. The next prime is 13399642080047. The reversal of 13399642080000 is 8024699331.

It is a happy number.

13399642080000 is a `hidden beast` number, since 133 + 9 + 96 + 420 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 138140639952 + ... + 138140640048.

It is an arithmetic number, because the mean of its divisors is an integer number (14236374152).

Almost surely, 2^{13399642080000} is an apocalyptic number.

13399642080000 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 13399642080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30750568168320).

13399642080000 is an abundant number, since it is smaller than the sum of its proper divisors (48101494256640).

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

13399642080000 is an equidigital number, since it uses as much as digits as its factorization.

13399642080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13399642080000 in words is "thirteen trillion, three hundred ninety-nine billion, six hundred forty-two million, eighty thousand".