17982020736 has 160 divisors (see below), whose sum is σ = 56331356400. Its totient is φ = 5678470656.

The previous prime is 17982020713. The next prime is 17982020741. The reversal of 17982020736 is 63702028971.

It is a junction number, because it is equal to n+sod(n) for n = 17982020691 and 17982020700.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151351 + ... + 242633.

Almost surely, 2^17982020736 is an apocalyptic number.

17982020736 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 17982020736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165678200).

17982020736 is an abundant number, since it is smaller than the sum of its proper divisors (38349335664).

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

17982020736 is an equidigital number, since it uses as much as digits as its factorization.

17982020736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91328 (or 91307 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 17982020736 in words is "seventeen billion, nine hundred eighty-two million, twenty thousand, seven hundred thirty-six".