18271071840 has 768 divisors, whose sum is σ = 73156608000. Its totient is φ = 3739115520.

The previous prime is 18271071829. The next prime is 18271071853. The reversal of 18271071840 is 4817017281.

It is a congruent number.

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, 131446491 + ... + 131446629.

It is an arithmetic number, because the mean of its divisors is an integer number (95256000).

Almost surely, 2^18271071840 is an apocalyptic number.

18271071840 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 18271071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304000).

18271071840 is an abundant number, since it is smaller than the sum of its proper divisors (54885536160).

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

18271071840 is a wasteful number, since it uses less digits than its factorization.

18271071840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The spelling of 18271071840 in words is "eighteen billion, two hundred seventy-one million, seventy-one thousand, eight hundred forty".