27540607104 has 96 divisors (see below), whose sum is σ = 83912846940. Its totient is φ = 8640184320.

The previous prime is 27540607093. The next prime is 27540607163. The reversal of 27540607104 is 40170604572.

27540607104 is a `hidden beast` number, since 2 + 7 + 5 + 40 + 607 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26673422400 + 867184704 = 163320^2 + 29448^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 683557 + ... + 722724.

Almost surely, 2^27540607104 is an apocalyptic number.

27540607104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27540607104 is an abundant number, since it is smaller than the sum of its proper divisors (56372239836).

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

27540607104 is a wasteful number, since it uses less digits than its factorization.

27540607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406318 (or 1406303 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 27540607104 in words is "twenty-seven billion, five hundred forty million, six hundred seven thousand, one hundred four".