19985386176 has 280 divisors, whose sum is σ = 68555707440. Its totient is φ = 5708924928.

The previous prime is 19985386129. The next prime is 19985386207. The reversal of 19985386176 is 67168358991.

19985386176 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 5 + 3 + 8 + 617 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4146520 + ... + 4151336.

Almost surely, 2^19985386176 is an apocalyptic number.

19985386176 is a gapful number since it is divisible by the number (16) 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 19985386176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34277853720).

19985386176 is an abundant number, since it is smaller than the sum of its proper divisors (48570321264).

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

19985386176 is an frugal number, since it uses more digits than its factorization.

19985386176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4829 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 19985386176 in words is "nineteen billion, nine hundred eighty-five million, three hundred eighty-six thousand, one hundred seventy-six".