27825816960 has 96 divisors (see below), whose sum is σ = 96086044080. Its totient is φ = 7420216320.

The previous prime is 27825816929. The next prime is 27825817007. The reversal of 27825816960 is 6961852872.

27825816960 is a `hidden beast` number, since 278 + 258 + 1 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 27825816897 and 27825816906.

It is a congruent number.

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, 2409676 + ... + 2421195.

Almost surely, 2^27825816960 is an apocalyptic number.

27825816960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27825816960 is an abundant number, since it is smaller than the sum of its proper divisors (68260227120).

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

27825816960 is a wasteful number, since it uses less digits than its factorization.

27825816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830896 (or 4830881 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 27825816960 in words is "twenty-seven billion, eight hundred twenty-five million, eight hundred sixteen thousand, nine hundred sixty".