27690930363101 has 8 divisors (see below), whose sum is σ = 29588797691640. Its totient is φ = 25822950709248.

The previous prime is 27690930363079. The next prime is 27690930363113. The reversal of 27690930363101 is 10136303909672.

27690930363101 = 3720949² + 3720950².

It can be written as a sum of positive squares in 4 ways, for example, as 13845468902500 + 13845461460601 = 3720950^2 + 3720949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 27690930363101 - 2²² = 27690926168797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27690930363101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27690930363001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7471916756 + ... + 7471920461.

It is an arithmetic number, because the mean of its divisors is an integer number (3698599711455).

Almost surely, 2^{27690930363101} is an apocalyptic number.

27690930363101 is the 3720950-th centered square number.

It is an amenable number.

27690930363101 is a deficient number, since it is larger than the sum of its proper divisors (1897867328539).

27690930363101 is a wasteful number, since it uses less digits than its factorization.

27690930363101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14943837343.

The product of its (nonzero) digits is 1102248, while the sum is 50.

The spelling of 27690930363101 in words is "twenty-seven trillion, six hundred ninety billion, nine hundred thirty million, three hundred sixty-three thousand, one hundred one".