27906435041004 has 72 divisors (see below), whose sum is σ = 80436195141120. Its totient is φ = 8081501548032.

The previous prime is 27906435040961. The next prime is 27906435041027. The reversal of 27906435041004 is 40014053460972.

27906435041004 is a `hidden beast` number, since 2 + 7 + 90 + 6 + 43 + 504 + 10 + 0 + 4 = 666.

It is a super-2 number, since 2×27906435041004² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1753790124 + ... + 1753806035.

It is an arithmetic number, because the mean of its divisors is an integer number (1117169376960).

Almost surely, 2^{27906435041004} is an apocalyptic number.

It is an amenable number.

27906435041004 is an abundant number, since it is smaller than the sum of its proper divisors (52529760100116).

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

27906435041004 is a wasteful number, since it uses less digits than its factorization.

27906435041004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507596199 (or 3507596194 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27906435041004 in words is "twenty-seven trillion, nine hundred six billion, four hundred thirty-five million, forty-one thousand, four".