19764886386672 has 160 divisors (see below), whose sum is σ = 64839410012160. Its totient is φ = 5646917341440.

The previous prime is 19764886386647. The next prime is 19764886386691. The reversal of 19764886386672 is 27668368846791.

19764886386672 is a `hidden beast` number, since 1 + 9 + 7 + 6 + 488 + 6 + 3 + 8 + 66 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19764886386591 and 19764886386600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104575297 + ... + 104764127.

It is an arithmetic number, because the mean of its divisors is an integer number (405246312576).

Almost surely, 2^{19764886386672} is an apocalyptic number.

19764886386672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19764886386672 is an abundant number, since it is smaller than the sum of its proper divisors (45074523625488).

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

19764886386672 is a wasteful number, since it uses less digits than its factorization.

19764886386672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223468 (or 223456 counting only the distinct ones).

The product of its digits is 7023034368, while the sum is 81.

The spelling of 19764886386672 in words is "nineteen trillion, seven hundred sixty-four billion, eight hundred eighty-six million, three hundred eighty-six thousand, six hundred seventy-two".