13171791118080 has 1152 divisors, whose sum is σ = 52660619182080. Its totient is φ = 2736276111360.

The previous prime is 13171791118021. The next prime is 13171791118163. The reversal of 13171791118080 is 8081119717131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10298506881 + ... + 10298508159.

It is an arithmetic number, because the mean of its divisors is an integer number (45712343040).

Almost surely, 2^{13171791118080} is an apocalyptic number.

13171791118080 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 13171791118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26330309591040).

13171791118080 is an abundant number, since it is smaller than the sum of its proper divisors (39488828064000).

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

13171791118080 is a wasteful number, since it uses less digits than its factorization.

13171791118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 48.

The spelling of 13171791118080 in words is "thirteen trillion, one hundred seventy-one billion, seven hundred ninety-one million, one hundred eighteen thousand, eighty".