19027077338016 has 288 divisors, whose sum is σ = 61073393472000. Its totient is φ = 5565977303040.

The previous prime is 19027077337963. The next prime is 19027077338023. The reversal of 19027077338016 is 61083377072091.

19027077338016 is a `hidden beast` number, since 190 + 2 + 7 + 0 + 7 + 73 + 380 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 642813585 + ... + 642843183.

It is an arithmetic number, because the mean of its divisors is an integer number (212060394000).

Almost surely, 2^{19027077338016} is an apocalyptic number.

19027077338016 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 19027077338016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30536696736000).

19027077338016 is an abundant number, since it is smaller than the sum of its proper divisors (42046316133984).

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

19027077338016 is a wasteful number, since it uses less digits than its factorization.

19027077338016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36652 (or 36641 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 19027077338016 in words is "nineteen trillion, twenty-seven billion, seventy-seven million, three hundred thirty-eight thousand, sixteen".