19824880080 has 160 divisors (see below), whose sum is σ = 61987282560. Its totient is φ = 5241231360.

The previous prime is 19824880067. The next prime is 19824880081. The reversal of 19824880080 is 8008842891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19824880081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23240934 + ... + 23241786.

It is an arithmetic number, because the mean of its divisors is an integer number (387420516).

Almost surely, 2^19824880080 is an apocalyptic number.

19824880080 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 19824880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30993641280).

19824880080 is an abundant number, since it is smaller than the sum of its proper divisors (42162402480).

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

19824880080 is a wasteful number, since it uses less digits than its factorization.

19824880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 19824880080 in words is "nineteen billion, eight hundred twenty-four million, eight hundred eighty thousand, eighty".