27564321010823 has 16 divisors (see below), whose sum is σ = 28833832016640. Its totient is φ = 26300800675776.

The previous prime is 27564321010769. The next prime is 27564321010867. The reversal of 27564321010823 is 32801012346572.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27564321010823 is a prime.

It is a super-3 number, since 3×27564321010823³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27564321010223) 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 15 ways as a sum of consecutive naturals, for example, 16864763 + ... + 18426851.

It is an arithmetic number, because the mean of its divisors is an integer number (1802114501040).

Almost surely, 2^{27564321010823} is an apocalyptic number.

27564321010823 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

27564321010823 is a deficient number, since it is larger than the sum of its proper divisors (1269511005817).

27564321010823 is a wasteful number, since it uses less digits than its factorization.

27564321010823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564006.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 27564321010823 in words is "twenty-seven trillion, five hundred sixty-four billion, three hundred twenty-one million, ten thousand, eight hundred twenty-three".