27133259904 has 256 divisors, whose sum is σ = 85435689600. Its totient is φ = 8447754240.

The previous prime is 27133259903. The next prime is 27133259917. The reversal of 27133259904 is 40995233172.

27133259904 is a `hidden beast` number, since 27 + 1 + 3 + 32 + 599 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27133259904.

It is not an unprimeable number, because it can be changed into a prime (27133259903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8047339 + ... + 8050709.

Almost surely, 2^27133259904 is an apocalyptic number.

27133259904 is a gapful number since it is divisible by the number (24) 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 27133259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42717844800).

27133259904 is an abundant number, since it is smaller than the sum of its proper divisors (58302429696).

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

27133259904 is a wasteful number, since it uses less digits than its factorization.

27133259904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 27133259904 in words is "twenty-seven billion, one hundred thirty-three million, two hundred fifty-nine thousand, nine hundred four".