27133159680 has 720 divisors, whose sum is σ = 108945232704. Its totient is φ = 6390005760.

The previous prime is 27133159663. The next prime is 27133159693. The reversal of 27133159680 is 8695133172.

27133159680 is a `hidden beast` number, since 27 + 1 + 3 + 31 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 42197439 + ... + 42198081.

Almost surely, 2^27133159680 is an apocalyptic number.

27133159680 is a gapful number since it is divisible by the number (20) 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 27133159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54472616352).

27133159680 is an abundant number, since it is smaller than the sum of its proper divisors (81812073024).

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

27133159680 is a wasteful number, since it uses less digits than its factorization.

27133159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 27133159680 in words is "twenty-seven billion, one hundred thirty-three million, one hundred fifty-nine thousand, six hundred eighty".