27289607894640 has 1200 divisors, whose sum is σ = 119673682394112. Its totient is φ = 5712360579072.

The previous prime is 27289607894611. The next prime is 27289607894677. The reversal of 27289607894640 is 4649870698272.

27289607894640 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 9 + 607 + 8 + 9 + 4 + 6 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 524199492 + ... + 524251548.

Almost surely, 2^{27289607894640} is an apocalyptic number.

27289607894640 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 27289607894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59836841197056).

27289607894640 is an abundant number, since it is smaller than the sum of its proper divisors (92384074499472).

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

27289607894640 is a wasteful number, since it uses less digits than its factorization.

27289607894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52236 (or 52214 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 27289607894640 in words is "twenty-seven trillion, two hundred eighty-nine billion, six hundred seven million, eight hundred ninety-four thousand, six hundred forty".