27766005580 has 48 divisors (see below), whose sum is σ = 59770174464. Its totient is φ = 10828923840.

The previous prime is 27766005577. The next prime is 27766005581. The reversal of 27766005580 is 8550066772.

It is a super-3 number, since 3×27766005580³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27766005580.

It is not an unprimeable number, because it can be changed into a prime (27766005581) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 462789 + ... + 519331.

It is an arithmetic number, because the mean of its divisors is an integer number (1245211968).

Almost surely, 2^27766005580 is an apocalyptic number.

27766005580 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 27766005580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29885087232).

27766005580 is an abundant number, since it is smaller than the sum of its proper divisors (32004168884).

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

27766005580 is a wasteful number, since it uses less digits than its factorization.

27766005580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57166 (or 57164 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 27766005580 in words is "twenty-seven billion, seven hundred sixty-six million, five thousand, five hundred eighty".