19008638320 has 80 divisors (see below), whose sum is σ = 50526766080. Its totient is φ = 6514912512.

The previous prime is 19008638317. The next prime is 19008638329. The reversal of 19008638320 is 2383680091.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×19008638320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19008638329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2425929 + ... + 2433751.

It is an arithmetic number, because the mean of its divisors is an integer number (631584576).

Almost surely, 2^19008638320 is an apocalyptic number.

19008638320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19008638320 is an abundant number, since it is smaller than the sum of its proper divisors (31518127760).

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

19008638320 is a wasteful number, since it uses less digits than its factorization.

19008638320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12182 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 19008638320 in words is "nineteen billion, eight million, six hundred thirty-eight thousand, three hundred twenty".