19899433886976 has 864 divisors, whose sum is σ = 72157647744000. Its totient is φ = 5339393261568.

The previous prime is 19899433886971. The next prime is 19899433887013. The reversal of 19899433886976 is 67968833499891.

19899433886976 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 9 + 433 + 8 + 86 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19899433886971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3693970555 + ... + 3693975941.

It is an arithmetic number, because the mean of its divisors is an integer number (83515796000).

Almost surely, 2^{19899433886976} is an apocalyptic number.

19899433886976 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 19899433886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36078823872000).

19899433886976 is an abundant number, since it is smaller than the sum of its proper divisors (52258213857024).

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

19899433886976 is an equidigital number, since it uses as much as digits as its factorization.

19899433886976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5915 counting only the distinct ones).

The product of its digits is 30474952704, while the sum is 90.

The spelling of 19899433886976 in words is "nineteen trillion, eight hundred ninety-nine billion, four hundred thirty-three million, eight hundred eighty-six thousand, nine hundred seventy-six".