19282080000 has 540 divisors, whose sum is σ = 68611724720. Its totient is φ = 4804608000.

The previous prime is 19282079977. The next prime is 19282080007. The reversal of 19282080000 is 8028291.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 19282080000.

It is not an unprimeable number, because it can be changed into a prime (19282080007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 138719931 + ... + 138720069.

Almost surely, 2^19282080000 is an apocalyptic number.

19282080000 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 19282080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34305862360).

19282080000 is an abundant number, since it is smaller than the sum of its proper divisors (49329644720).

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

19282080000 is an equidigital number, since it uses as much as digits as its factorization.

19282080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 19282080000 in words is "nineteen billion, two hundred eighty-two million, eighty thousand".