19072082880 has 336 divisors, whose sum is σ = 69552738720. Its totient is φ = 4919685120.

The previous prime is 19072082879. The next prime is 19072082921. The reversal of 19072082880 is 8828027091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8301892 + ... + 8304188.

Almost surely, 2^19072082880 is an apocalyptic number.

19072082880 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 19072082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776369360).

19072082880 is an abundant number, since it is smaller than the sum of its proper divisors (50480655840).

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

19072082880 is a wasteful number, since it uses less digits than its factorization.

19072082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 19072082880 in words is "nineteen billion, seventy-two million, eighty-two thousand, eight hundred eighty".