17427319104 has 224 divisors, whose sum is σ = 51925565440. Its totient is φ = 5121792000.

The previous prime is 17427319103. The next prime is 17427319171. The reversal of 17427319104 is 40191372471.

It is a super-2 number, since 2×17427319104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17427319103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6111279 + ... + 6114129.

It is an arithmetic number, because the mean of its divisors is an integer number (231810560).

Almost surely, 2^17427319104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17427319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25962782720).

17427319104 is an abundant number, since it is smaller than the sum of its proper divisors (34498246336).

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

17427319104 is a wasteful number, since it uses less digits than its factorization.

17427319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 17427319104 in words is "seventeen billion, four hundred twenty-seven million, three hundred nineteen thousand, one hundred four".