27029919384468 has 432 divisors, whose sum is σ = 93812579952000. Its totient is φ = 6383966814720.

The previous prime is 27029919384467. The next prime is 27029919384511. The reversal of 27029919384468 is 86448391992072.

27029919384468 is a `hidden beast` number, since 2 + 7 + 0 + 2 + 9 + 91 + 93 + 8 + 446 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27029919384396 and 27029919384405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27029919384467) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26049658 + ... + 27067406.

Almost surely, 2^{27029919384468} is an apocalyptic number.

27029919384468 is a gapful number since it is divisible by the number (28) 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 27029919384468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46906289976000).

27029919384468 is an abundant number, since it is smaller than the sum of its proper divisors (66782660567532).

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

27029919384468 is a wasteful number, since it uses less digits than its factorization.

27029919384468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017868 (or 1017852 counting only the distinct ones).

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

The spelling of 27029919384468 in words is "twenty-seven trillion, twenty-nine billion, nine hundred nineteen million, three hundred eighty-four thousand, four hundred sixty-eight".