19882782480 has 480 divisors, whose sum is σ = 73725531264. Its totient is φ = 4380672000.

The previous prime is 19882782431. The next prime is 19882782509. The reversal of 19882782480 is 8428728891.

It is a super-3 number, since 3×19882782480³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19882782480.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43129450 + ... + 43129910.

Almost surely, 2^19882782480 is an apocalyptic number.

19882782480 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 19882782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36862765632).

19882782480 is an abundant number, since it is smaller than the sum of its proper divisors (53842748784).

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

19882782480 is a wasteful number, since it uses less digits than its factorization.

19882782480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 19882782480 in words is "nineteen billion, eight hundred eighty-two million, seven hundred eighty-two thousand, four hundred eighty".