13293180794880 has 384 divisors, whose sum is σ = 54003554841600. Its totient is φ = 3038440882176.

The previous prime is 13293180794867. The next prime is 13293180794909. The reversal of 13293180794880 is 8849708139231.

13293180794880 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 3 + 1 + 80 + 79 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 1498932 + ... + 5369651.

It is an arithmetic number, because the mean of its divisors is an integer number (140634257400).

Almost surely, 2^{13293180794880} is an apocalyptic number.

13293180794880 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 13293180794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27001777420800).

13293180794880 is an abundant number, since it is smaller than the sum of its proper divisors (40710374046720).

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

13293180794880 is an equidigital number, since it uses as much as digits as its factorization.

13293180794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868626 (or 6868600 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 13293180794880 in words is "thirteen trillion, two hundred ninety-three billion, one hundred eighty million, seven hundred ninety-four thousand, eight hundred eighty".