17980848771072 has 832 divisors, whose sum is σ = 56643367772160. Its totient is φ = 5018930380800.

The previous prime is 17980848771071. The next prime is 17980848771077. The reversal of 17980848771072 is 27017784808971.

It is a super-2 number, since 2×17980848771072² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17980848770988 and 17980848771006.

It is not an unprimeable number, because it can be changed into a prime (17980848771071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8870669323 + ... + 8870671349.

It is an arithmetic number, because the mean of its divisors is an integer number (68080970880).

Almost surely, 2^{17980848771072} is an apocalyptic number.

17980848771072 is a gapful number since it is divisible by the number (12) 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 17980848771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28321683886080).

17980848771072 is an abundant number, since it is smaller than the sum of its proper divisors (38662519001088).

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

17980848771072 is a wasteful number, since it uses less digits than its factorization.

17980848771072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 69.

The spelling of 17980848771072 in words is "seventeen trillion, nine hundred eighty billion, eight hundred forty-eight million, seven hundred seventy-one thousand, seventy-two".