19508430240 has 576 divisors, whose sum is σ = 77271667200. Its totient is φ = 4438720512.

The previous prime is 19508430197. The next prime is 19508430259. The reversal of 19508430240 is 4203480591.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19508430195 and 19508430204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18775641 + ... + 18776679.

It is an arithmetic number, because the mean of its divisors is an integer number (134152200).

Almost surely, 2^19508430240 is an apocalyptic number.

19508430240 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 19508430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38635833600).

19508430240 is an abundant number, since it is smaller than the sum of its proper divisors (57763236960).

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

19508430240 is a wasteful number, since it uses less digits than its factorization.

19508430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 19508430240 in words is "nineteen billion, five hundred eight million, four hundred thirty thousand, two hundred forty".