13071573358800 has 960 divisors, whose sum is σ = 49116799180800. Its totient is φ = 2937859891200.

The previous prime is 13071573358757. The next prime is 13071573358801. The reversal of 13071573358800 is 885337517031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13071573358801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6367058574 + ... + 6367060626.

It is an arithmetic number, because the mean of its divisors is an integer number (51163332480).

Almost surely, 2^{13071573358800} is an apocalyptic number.

13071573358800 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 13071573358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558399590400).

13071573358800 is an abundant number, since it is smaller than the sum of its proper divisors (36045225822000).

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

13071573358800 is a wasteful number, since it uses less digits than its factorization.

13071573358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 13071573358800 in words is "thirteen trillion, seventy-one billion, five hundred seventy-three million, three hundred fifty-eight thousand, eight hundred".