27775560699936 has 576 divisors, whose sum is σ = 95262213231360. Its totient is φ = 7712707092480.

The previous prime is 27775560699811. The next prime is 27775560699941. The reversal of 27775560699936 is 63999606557772.

27775560699936 is a `hidden beast` number, since 27 + 7 + 7 + 556 + 0 + 6 + 9 + 9 + 9 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11864826126 + ... + 11864828466.

It is an arithmetic number, because the mean of its divisors is an integer number (165385786860).

Almost surely, 2^{27775560699936} 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 27775560699936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47631106615680).

27775560699936 is an abundant number, since it is smaller than the sum of its proper divisors (67486652531424).

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

27775560699936 is a wasteful number, since it uses less digits than its factorization.

27775560699936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 8101522800, while the sum is 81.

The spelling of 27775560699936 in words is "twenty-seven trillion, seven hundred seventy-five billion, five hundred sixty million, six hundred ninety-nine thousand, nine hundred thirty-six".