27496128564 has 48 divisors (see below), whose sum is σ = 72803001600. Its totient is φ = 8970366528.

The previous prime is 27496128563. The next prime is 27496128577. The reversal of 27496128564 is 46582169472.

27496128564 is a `hidden beast` number, since 2 + 7 + 496 + 12 + 85 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27496128564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27496128563) 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, 2703369 + ... + 2713520.

It is an arithmetic number, because the mean of its divisors is an integer number (1516729200).

Almost surely, 2^27496128564 is an apocalyptic number.

It is an amenable number.

27496128564 is an abundant number, since it is smaller than the sum of its proper divisors (45306873036).

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

27496128564 is a wasteful number, since it uses less digits than its factorization.

27496128564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416949 (or 5416941 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 27496128564 in words is "twenty-seven billion, four hundred ninety-six million, one hundred twenty-eight thousand, five hundred sixty-four".