19793765040 has 320 divisors, whose sum is σ = 77482469376. Its totient is φ = 4072882176.

The previous prime is 19793765029. The next prime is 19793765041. The reversal of 19793765040 is 4056739791.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (19793765041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 641814 + ... + 671946.

Almost surely, 2^19793765040 is an apocalyptic number.

19793765040 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 19793765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38741234688).

19793765040 is an abundant number, since it is smaller than the sum of its proper divisors (57688704336).

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

19793765040 is a wasteful number, since it uses less digits than its factorization.

19793765040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30196 (or 30190 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 19793765040 in words is "nineteen billion, seven hundred ninety-three million, seven hundred sixty-five thousand, forty".