19054041993216 has 260 divisors, whose sum is σ = 56939707536624. Its totient is φ = 6349142016000.

The previous prime is 19054041993209. The next prime is 19054041993247. The reversal of 19054041993216 is 61239914045091.

19054041993216 is a `hidden beast` number, since 1 + 9 + 0 + 5 + 4 + 0 + 419 + 9 + 3 + 216 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1158221791 + ... + 1158238241.

Almost surely, 2^{19054041993216} is an apocalyptic number.

19054041993216 is a gapful number since it is divisible by the number (16) 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 19054041993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28469853768312).

19054041993216 is an abundant number, since it is smaller than the sum of its proper divisors (37885665543408).

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

19054041993216 is an equidigital number, since it uses as much as digits as its factorization.

19054041993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19978 (or 19947 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 19054041993216 in words is "nineteen trillion, fifty-four billion, forty-one million, nine hundred ninety-three thousand, two hundred sixteen".