19809612480 has 224 divisors, whose sum is σ = 73634803200. Its totient is φ = 4417413120.

The previous prime is 19809612463. The next prime is 19809612503. The reversal of 19809612480 is 8421690891.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239571 + ... + 311469.

It is an arithmetic number, because the mean of its divisors is an integer number (328726800).

Almost surely, 2^19809612480 is an apocalyptic number.

19809612480 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 19809612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36817401600).

19809612480 is an abundant number, since it is smaller than the sum of its proper divisors (53825190720).

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

19809612480 is a wasteful number, since it uses less digits than its factorization.

19809612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71967 (or 71957 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 19809612480 in words is "nineteen billion, eight hundred nine million, six hundred twelve thousand, four hundred eighty".