27765126280 has 32 divisors (see below), whose sum is σ = 62562003840. Its totient is φ = 11089967040.

The previous prime is 27765126253. The next prime is 27765126289. The reversal of 27765126280 is 8262156772.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27765126280.

It is not an unprimeable number, because it can be changed into a prime (27765126289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474624 + ... + 529903.

It is an arithmetic number, because the mean of its divisors is an integer number (1955062620).

Almost surely, 2^27765126280 is an apocalyptic number.

27765126280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27765126280 is an abundant number, since it is smaller than the sum of its proper divisors (34796877560).

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

27765126280 is a wasteful number, since it uses less digits than its factorization.

27765126280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005229 (or 1005225 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 27765126280 in words is "twenty-seven billion, seven hundred sixty-five million, one hundred twenty-six thousand, two hundred eighty".