19992056640192 has 336 divisors, whose sum is σ = 74676214896192. Its totient is φ = 4962475376640.

The previous prime is 19992056640181. The next prime is 19992056640203. The reversal of 19992056640192 is 29104665029991.

19992056640192 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 20 + 566 + 40 + 1 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (19992056640181) and next prime (19992056640203).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 10326909 + ... + 12109052.

It is an arithmetic number, because the mean of its divisors is an integer number (222250639572).

Almost surely, 2^{19992056640192} is an apocalyptic number.

19992056640192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19992056640192 is an abundant number, since it is smaller than the sum of its proper divisors (54684158256000).

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

19992056640192 is a wasteful number, since it uses less digits than its factorization.

19992056640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22436016 (or 22436003 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 19992056640192 in words is "nineteen trillion, nine hundred ninety-two billion, fifty-six million, six hundred forty thousand, one hundred ninety-two".