27196032883968 has 288 divisors, whose sum is σ = 86658851529600. Its totient is φ = 8363278024704.

The previous prime is 27196032883913. The next prime is 27196032883969. The reversal of 27196032883968 is 86938823069172.

27196032883968 is a `hidden beast` number, since 2 + 7 + 1 + 9 + 603 + 2 + 8 + 8 + 3 + 9 + 6 + 8 = 666.

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

It is a super-2 number, since 2×27196032883968² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27196032883896 and 27196032883905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27196032883969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160487988 + ... + 160657356.

Almost surely, 2^{27196032883968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27196032883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43329425764800).

27196032883968 is an abundant number, since it is smaller than the sum of its proper divisors (59462818645632).

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

27196032883968 is a wasteful number, since it uses less digits than its factorization.

27196032883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171194 (or 171174 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 27196032883968 in words is "twenty-seven trillion, one hundred ninety-six billion, thirty-two million, eight hundred eighty-three thousand, nine hundred sixty-eight".