19079872083648 has 224 divisors, whose sum is σ = 57310875878400. Its totient is φ = 6221797291008.

The previous prime is 19079872083589. The next prime is 19079872083697. The reversal of 19079872083648 is 84638027897091.

19079872083648 is a `hidden beast` number, since 190 + 7 + 9 + 8 + 72 + 0 + 8 + 364 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181627683 + ... + 181732701.

Almost surely, 2^{19079872083648} is an apocalyptic number.

19079872083648 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 19079872083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28655437939200).

19079872083648 is an abundant number, since it is smaller than the sum of its proper divisors (38231003794752).

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

19079872083648 is a wasteful number, since it uses less digits than its factorization.

19079872083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107324 (or 107308 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 19079872083648 in words is "nineteen trillion, seventy-nine billion, eight hundred seventy-two million, eighty-three thousand, six hundred forty-eight".