19768239540 has 864 divisors, whose sum is σ = 80937118080. Its totient is φ = 4013162496.

The previous prime is 19768239511. The next prime is 19768239541. The reversal of 19768239540 is 4593286791.

19768239540 is a `hidden beast` number, since 1 + 9 + 7 + 68 + 2 + 39 + 540 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19768239541) 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 287 ways as a sum of consecutive naturals, for example, 76919092 + ... + 76919348.

It is an arithmetic number, because the mean of its divisors is an integer number (93677220).

It is a 1-persistent number, because it is pandigital, but 2⋅19768239540 = 39536479080 is not.

Almost surely, 2^19768239540 is an apocalyptic number.

19768239540 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 19768239540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40468559040).

19768239540 is an abundant number, since it is smaller than the sum of its proper divisors (61168878540).

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

19768239540 is a wasteful number, since it uses less digits than its factorization.

19768239540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 19768239540 in words is "nineteen billion, seven hundred sixty-eight million, two hundred thirty-nine thousand, five hundred forty".