27675542610006 has 32 divisors (see below), whose sum is σ = 55388909570400. Its totient is φ = 9218877267456.

The previous prime is 27675542609987. The next prime is 27675542610011. The reversal of 27675542610006 is 60001624557672.

It is a super-2 number, since 2×27675542610006² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 397162840 + ... + 397232516.

It is an arithmetic number, because the mean of its divisors is an integer number (1730903424075).

Almost surely, 2^{27675542610006} is an apocalyptic number.

27675542610006 is an abundant number, since it is smaller than the sum of its proper divisors (27713366960394).

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

27675542610006 is a wasteful number, since it uses less digits than its factorization.

27675542610006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113968.

The product of its (nonzero) digits is 4233600, while the sum is 51.

It can be divided in two parts, 2767554 and 2610006, that added together give a triangular number (5377560 = T₃₂₇₉).

The spelling of 27675542610006 in words is "twenty-seven trillion, six hundred seventy-five billion, five hundred forty-two million, six hundred ten thousand, six".