19753008768 has 96 divisors (see below), whose sum is σ = 56941768260. Its totient is φ = 6572703744.

The previous prime is 19753008767. The next prime is 19753008773. The reversal of 19753008768 is 86780035791.

It can be written as a sum of positive squares in 2 ways, for example, as 14440348224 + 5312660544 = 120168^2 + 72888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (19753008767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 649846 + ... + 679562.

Almost surely, 2^19753008768 is an apocalyptic number.

19753008768 is a gapful number since it is divisible by the number (18) 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 19753008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28470884130).

19753008768 is an abundant number, since it is smaller than the sum of its proper divisors (37188759492).

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

19753008768 is a wasteful number, since it uses less digits than its factorization.

19753008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30314 (or 30299 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 19753008768 in words is "nineteen billion, seven hundred fifty-three million, eight thousand, seven hundred sixty-eight".