17972171136 has 512 divisors, whose sum is σ = 58882560000. Its totient is φ = 5441955840.

The previous prime is 17972171111. The next prime is 17972171137. The reversal of 17972171136 is 63117127971.

It is a junction number, because it is equal to n+sod(n) for n = 17972171091 and 17972171100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17972171137) 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, 164882250 + ... + 164882358.

It is an arithmetic number, because the mean of its divisors is an integer number (115005000).

Almost surely, 2^17972171136 is an apocalyptic number.

17972171136 is a gapful number since it is divisible by the number (16) 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 17972171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29441280000).

17972171136 is an abundant number, since it is smaller than the sum of its proper divisors (40910388864).

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

17972171136 is an equidigital number, since it uses as much as digits as its factorization.

17972171136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its digits is 111132, while the sum is 45.

The spelling of 17972171136 in words is "seventeen billion, nine hundred seventy-two million, one hundred seventy-one thousand, one hundred thirty-six".