13320857172480 has 1280 divisors, whose sum is σ = 54364680437760. Its totient is φ = 2732772556800.

The previous prime is 13320857172479. The next prime is 13320857172517. The reversal of 13320857172480 is 8427175802331.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×13320857172480² (a number of 27 digits) contains 22 as substring.

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, 646853064 + ... + 646873656.

It is an arithmetic number, because the mean of its divisors is an integer number (42472406592).

Almost surely, 2^{13320857172480} is an apocalyptic number.

13320857172480 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 13320857172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27182340218880).

13320857172480 is an abundant number, since it is smaller than the sum of its proper divisors (41043823265280).

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

13320857172480 is a wasteful number, since it uses less digits than its factorization.

13320857172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20693 (or 20677 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 13320857172480 in words is "thirteen trillion, three hundred twenty billion, eight hundred fifty-seven million, one hundred seventy-two thousand, four hundred eighty".