19812008736 has 288 divisors, whose sum is σ = 63006128640. Its totient is φ = 5864140800.

The previous prime is 19812008729. The next prime is 19812008737. The reversal of 19812008736 is 63780021891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19812008691 and 19812008700.

It is not an unprimeable number, because it can be changed into a prime (19812008737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24489100 + ... + 24489908.

It is an arithmetic number, because the mean of its divisors is an integer number (218771280).

Almost surely, 2^19812008736 is an apocalyptic number.

19812008736 is a gapful number since it is divisible by the number (16) 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 19812008736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31503064320).

19812008736 is an abundant number, since it is smaller than the sum of its proper divisors (43194119904).

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

19812008736 is a wasteful number, since it uses less digits than its factorization.

19812008736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 19812008736 in words is "nineteen billion, eight hundred twelve million, eight thousand, seven hundred thirty-six".