13379793166080 has 1440 divisors, whose sum is σ = 55390049890560. Its totient is φ = 3049764618240.

The previous prime is 13379793166007. The next prime is 13379793166097. The reversal of 13379793166080 is 8066139797331.

13379793166080 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 9 + 7 + 9 + 3 + 16 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 13379793165999 and 13379793166017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2968667187 + ... + 2968671693.

It is an arithmetic number, because the mean of its divisors is an integer number (38465312424).

Almost surely, 2^{13379793166080} is an apocalyptic number.

13379793166080 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 13379793166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27695024945280).

13379793166080 is an abundant number, since it is smaller than the sum of its proper divisors (42010256724480).

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

13379793166080 is a wasteful number, since it uses less digits than its factorization.

13379793166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 13379793166080 in words is "thirteen trillion, three hundred seventy-nine billion, seven hundred ninety-three million, one hundred sixty-six thousand, eighty".