19492008960 has 176 divisors, whose sum is σ = 64495238400. Its totient is φ = 5018517504.

The previous prime is 19492008953. The next prime is 19492009007. The reversal of 19492008960 is 6980029491.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423561 + ... + 467319.

Almost surely, 2^19492008960 is an apocalyptic number.

19492008960 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 19492008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32247619200).

19492008960 is an abundant number, since it is smaller than the sum of its proper divisors (45003229440).

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

19492008960 is a wasteful number, since it uses less digits than its factorization.

19492008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43816 (or 43798 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 19492008960 in words is "nineteen billion, four hundred ninety-two million, eight thousand, nine hundred sixty".