19918105804800 has 1836 divisors, whose sum is σ = 86157966823656. Its totient is φ = 4548250828800.

The previous prime is 19918105804799. The next prime is 19918105804811. The reversal of 19918105804800 is 840850181991.

19918105804800 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 8 + 10 + 580 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19508428290 + ... + 19508429310.

Almost surely, 2^{19918105804800} is an apocalyptic number.

19918105804800 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 19918105804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43078983411828).

19918105804800 is an abundant number, since it is smaller than the sum of its proper divisors (66239861018856).

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

19918105804800 is an frugal number, since it uses more digits than its factorization.

19918105804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 19918105804800 in words is "nineteen trillion, nine hundred eighteen billion, one hundred five million, eight hundred four thousand, eight hundred".