27116807682560 has 40 divisors (see below), whose sum is σ = 65016783426276. Its totient is φ = 10846723072000.

The previous prime is 27116807682467. The next prime is 27116807682647. The reversal of 27116807682560 is 6528670861172.

It can be written as a sum of positive squares in 2 ways, for example, as 23518775347456 + 3598032335104 = 4849616^2 + 1896848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 27116807682560.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5296248941 + ... + 5296254060.

Almost surely, 2^{27116807682560} is an apocalyptic number.

27116807682560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27116807682560 is an abundant number, since it is smaller than the sum of its proper divisors (37899975743716).

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

27116807682560 is an equidigital number, since it uses as much as digits as its factorization.

27116807682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592503024 (or 10592503008 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 59.

The spelling of 27116807682560 in words is "twenty-seven trillion, one hundred sixteen billion, eight hundred seven million, six hundred eighty-two thousand, five hundred sixty".