27707590442052 has 72 divisors (see below), whose sum is σ = 71598291087960. Its totient is φ = 9031944453120.

The previous prime is 27707590441967. The next prime is 27707590442053. The reversal of 27707590442052 is 25024409570772.

27707590442052 is a `hidden beast` number, since 2 + 7 + 7 + 0 + 7 + 590 + 4 + 42 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5556316409856 + 22151274032196 = 2357184^2 + 4706514^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27707590442052.

It is not an unprimeable number, because it can be changed into a prime (27707590442053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36086277 + ... + 36846092.

It is an arithmetic number, because the mean of its divisors is an integer number (994420709555).

Almost surely, 2^{27707590442052} is an apocalyptic number.

It is an amenable number.

27707590442052 is an abundant number, since it is smaller than the sum of its proper divisors (43890700645908).

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

27707590442052 is a wasteful number, since it uses less digits than its factorization.

27707590442052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72932613 (or 72932608 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 27707590442052 in words is "twenty-seven trillion, seven hundred seven billion, five hundred ninety million, four hundred forty-two thousand, fifty-two".