19916890785792 has 2304 divisors, whose sum is σ = 80804086272000. Its totient is φ = 4706441625600.

The previous prime is 19916890785713. The next prime is 19916890785889. The reversal of 19916890785792 is 29758709861991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64041449317 + ... + 64041449627.

It is an arithmetic number, because the mean of its divisors is an integer number (35071218000).

Almost surely, 2^{19916890785792} is an apocalyptic number.

19916890785792 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 19916890785792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40402043136000).

19916890785792 is an abundant number, since it is smaller than the sum of its proper divisors (60887195486208).

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

19916890785792 is a wasteful number, since it uses less digits than its factorization.

19916890785792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 81.

The spelling of 19916890785792 in words is "nineteen trillion, nine hundred sixteen billion, eight hundred ninety million, seven hundred eighty-five thousand, seven hundred ninety-two".