27661413504 has 64 divisors (see below), whose sum is σ = 73502252640. Its totient is φ = 9217130496.

The previous prime is 27661413497. The next prime is 27661413523. The reversal of 27661413504 is 40531416672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1193127 + ... + 1216089.

Almost surely, 2^27661413504 is an apocalyptic number.

27661413504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27661413504 is an abundant number, since it is smaller than the sum of its proper divisors (45840839136).

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

27661413504 is a wasteful number, since it uses less digits than its factorization.

27661413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26117 (or 26105 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 27661413504 in words is "twenty-seven billion, six hundred sixty-one million, four hundred thirteen thousand, five hundred four".