13106542804992 has 2736 divisors, whose sum is σ = 54824649647040. Its totient is φ = 3082108796928.

The previous prime is 13106542804987. The next prime is 13106542805003. The reversal of 13106542804992 is 29940824560131.

It is a happy number.

13106542804992 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 6 + 542 + 8 + 0 + 4 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2736).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 689818042359 + ... + 689818042377.

It is an arithmetic number, because the mean of its divisors is an integer number (20038249140).

Almost surely, 2^{13106542804992} is an apocalyptic number.

13106542804992 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 13106542804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412324823520).

13106542804992 is an abundant number, since it is smaller than the sum of its proper divisors (41718106842048).

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

13106542804992 is an frugal number, since it uses more digits than its factorization.

13106542804992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13106542804992 in words is "thirteen trillion, one hundred six billion, five hundred forty-two million, eight hundred four thousand, nine hundred ninety-two".