27765135067340 has 48 divisors (see below), whose sum is σ = 64201862075904. Its totient is φ = 10002053745600.

The previous prime is 27765135067289. The next prime is 27765135067349. The reversal of 27765135067340 is 4376053156772.

It is not an unprimeable number, because it can be changed into a prime (27765135067349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589720196 + ... + 589767275.

It is an arithmetic number, because the mean of its divisors is an integer number (1337538793248).

Almost surely, 2^{27765135067340} is an apocalyptic number.

27765135067340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27765135067340 is an abundant number, since it is smaller than the sum of its proper divisors (36436727008564).

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

27765135067340 is a wasteful number, since it uses less digits than its factorization.

27765135067340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179487598 (or 1179487596 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 56.

The spelling of 27765135067340 in words is "twenty-seven trillion, seven hundred sixty-five billion, one hundred thirty-five million, sixty-seven thousand, three hundred forty".