27575605107775 has 48 divisors (see below), whose sum is σ = 34746881057280. Its totient is φ = 21705148108800.

The previous prime is 27575605107709. The next prime is 27575605107781. The reversal of 27575605107775 is 57770150657572.

It is a happy number.

It is not a de Polignac number, because 27575605107775 - 2¹⁹ = 27575604583487 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2128890699 + ... + 2128903651.

It is an arithmetic number, because the mean of its divisors is an integer number (723893355360).

Almost surely, 2^{27575605107775} is an apocalyptic number.

27575605107775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27575605107775 is a deficient number, since it is larger than the sum of its proper divisors (7171275949505).

27575605107775 is a wasteful number, since it uses less digits than its factorization.

27575605107775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15796 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 126052500, while the sum is 64.

The spelling of 27575605107775 in words is "twenty-seven trillion, five hundred seventy-five billion, six hundred five million, one hundred seven thousand, seven hundred seventy-five".