27313235264 has 112 divisors (see below), whose sum is σ = 64780290048. Its totient is φ = 11171685888.

The previous prime is 27313235263. The next prime is 27313235273. The reversal of 27313235264 is 46253231372.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×27313235264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27313235263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5015327 + ... + 5020769.

Almost surely, 2^27313235264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27313235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32390145024).

27313235264 is an abundant number, since it is smaller than the sum of its proper divisors (37467054784).

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

27313235264 is a wasteful number, since it uses less digits than its factorization.

27313235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5962 counting only the distinct ones).

The product of its digits is 181440, while the sum is 38.

The spelling of 27313235264 in words is "twenty-seven billion, three hundred thirteen million, two hundred thirty-five thousand, two hundred sixty-four".