27661504400 has 60 divisors (see below), whose sum is σ = 68002312752. Its totient is φ = 10807278720.

The previous prime is 27661504379. The next prime is 27661504427. The reversal of 27661504400 is 440516672.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 786914 + ... + 821313.

Almost surely, 2^27661504400 is an apocalyptic number.

27661504400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27661504400 is an abundant number, since it is smaller than the sum of its proper divisors (40340808352).

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

27661504400 is a wasteful number, since it uses less digits than its factorization.

27661504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608288 (or 1608277 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 27661504400 in words is "twenty-seven billion, six hundred sixty-one million, five hundred four thousand, four hundred".