19855097192448 has 2016 divisors, whose sum is σ = 74443827744000. Its totient is φ = 5079994859520.

The previous prime is 19855097192419. The next prime is 19855097192459. The reversal of 19855097192448 is 84429179055891.

19855097192448 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 5 + 0 + 97 + 1 + 92 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 461746446315 + ... + 461746446357.

Almost surely, 2^{19855097192448} is an apocalyptic number.

19855097192448 is a gapful number since it is divisible by the number (18) 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 19855097192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37221913872000).

19855097192448 is an abundant number, since it is smaller than the sum of its proper divisors (54588730551552).

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

19855097192448 is an equidigital number, since it uses as much as digits as its factorization.

19855097192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 19855097192448 in words is "nineteen trillion, eight hundred fifty-five billion, ninety-seven million, one hundred ninety-two thousand, four hundred forty-eight".