19986392604672 has 1120 divisors, whose sum is σ = 69053855869152. Its totient is φ = 5705570451456.

The previous prime is 19986392604671. The next prime is 19986392604691. The reversal of 19986392604672 is 27640629368991.

19986392604672 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 6 + 3 + 9 + 2 + 604 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×19986392604672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 19986392604672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19986392604671) 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 79 ways as a sum of consecutive naturals, for example, 10705083483 + ... + 10705085349.

Almost surely, 2^{19986392604672} is an apocalyptic number.

19986392604672 is a gapful number since it is divisible by the number (12) 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 19986392604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34526927934576).

19986392604672 is an abundant number, since it is smaller than the sum of its proper divisors (49067463264480).

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

19986392604672 is a wasteful number, since it uses less digits than its factorization.

19986392604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 19986392604672 in words is "nineteen trillion, nine hundred eighty-six billion, three hundred ninety-two million, six hundred four thousand, six hundred seventy-two".