19749235968000 has 6912 divisors, whose sum is σ = 101792542924800. Its totient is φ = 3762339840000.

The previous prime is 19749235967999. The next prime is 19749235968113. The reversal of 19749235968000 is 86953294791.

19749235968000 is a `hidden beast` number, since 1 + 97 + 492 + 3 + 59 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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 575 ways as a sum of consecutive naturals, for example, 637072127985 + ... + 637072128015.

It is an arithmetic number, because the mean of its divisors is an integer number (14726930400).

It is a 1-persistent number, because it is pandigital, but 2⋅19749235968000 = 39498471936000 is not.

Almost surely, 2^{19749235968000} is an apocalyptic number.

19749235968000 is a gapful number since it is divisible by the number (10) 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 19749235968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50896271462400).

19749235968000 is an abundant number, since it is smaller than the sum of its proper divisors (82043306956800).

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

19749235968000 is a wasteful number, since it uses less digits than its factorization.

19749235968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 19749235968000 in words is "nineteen trillion, seven hundred forty-nine billion, two hundred thirty-five million, nine hundred sixty-eight thousand".