27765508248280 has 64 divisors (see below), whose sum is σ = 68185293069600. Its totient is φ = 10091572008960.

The previous prime is 27765508248253. The next prime is 27765508248293. The reversal of 27765508248280 is 8284280556772.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14657617 + ... + 16443136.

Almost surely, 2^{27765508248280} is an apocalyptic number.

27765508248280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27765508248280 is an abundant number, since it is smaller than the sum of its proper divisors (40419784821320).

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

27765508248280 is a wasteful number, since it uses less digits than its factorization.

27765508248280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31102804 (or 31102800 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 64.

The spelling of 27765508248280 in words is "twenty-seven trillion, seven hundred sixty-five billion, five hundred eight million, two hundred forty-eight thousand, two hundred eighty".