10319169765672 has 48 divisors (see below), whose sum is σ = 29591736831540. Its totient is φ = 3237386592768.

The previous prime is 10319169765659. The next prime is 10319169765721. The reversal of 10319169765672 is 27656796191301.

It is a happy number.

10319169765672 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 9 + 1 + 69 + 7 + 6 + 567 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7760046490596 + 2559123275076 = 2785686^2 + 1599726^2 .

It is a super-3 number, since 3×10319169765672³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4215345903 + ... + 4215348350.

Almost surely, 2^{10319169765672} is an apocalyptic number.

10319169765672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10319169765672 is an abundant number, since it is smaller than the sum of its proper divisors (19272567065868).

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

10319169765672 is a wasteful number, since it uses less digits than its factorization.

10319169765672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8430694282 (or 8430694275 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 10319169765672 in words is "ten trillion, three hundred nineteen billion, one hundred sixty-nine million, seven hundred sixty-five thousand, six hundred seventy-two".