19096814880 has 768 divisors, whose sum is σ = 82707609600. Its totient is φ = 4046008320.

The previous prime is 19096814827. The next prime is 19096814887. The reversal of 19096814880 is 8841869091.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19096814887) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 11736627 + ... + 11738253.

It is an arithmetic number, because the mean of its divisors is an integer number (107692200).

Almost surely, 2^19096814880 is an apocalyptic number.

19096814880 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 19096814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41353804800).

19096814880 is an abundant number, since it is smaller than the sum of its proper divisors (63610794720).

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

19096814880 is a wasteful number, since it uses less digits than its factorization.

19096814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 19096814880 in words is "nineteen billion, ninety-six million, eight hundred fourteen thousand, eight hundred eighty".