27689585616 has 720 divisors, whose sum is σ = 103949471808. Its totient is φ = 7054387200.

The previous prime is 27689585563. The next prime is 27689585617. The reversal of 27689585616 is 61658598672.

27689585616 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 9 + 5 + 8 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27689585617) 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, 152981046 + ... + 152981226.

Almost surely, 2^27689585616 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 27689585616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51974735904).

27689585616 is an abundant number, since it is smaller than the sum of its proper divisors (76259886192).

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

27689585616 is a wasteful number, since it uses less digits than its factorization.

27689585616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 277 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 27689585616 in words is "twenty-seven billion, six hundred eighty-nine million, five hundred eighty-five thousand, six hundred sixteen".