27685766900 has 36 divisors (see below), whose sum is σ = 65539763520. Its totient is φ = 10067551200.

The previous prime is 27685766873. The next prime is 27685766903. The reversal of 27685766900 is 966758672.

It is a super-2 number, since 2×27685766900² (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 (27685766903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12583340 + ... + 12585539.

Almost surely, 2^27685766900 is an apocalyptic number.

27685766900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27685766900 is an abundant number, since it is smaller than the sum of its proper divisors (37853996620).

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

27685766900 is a wasteful number, since it uses less digits than its factorization.

27685766900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25168904 (or 25168897 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 27685766900 in words is "twenty-seven billion, six hundred eighty-five million, seven hundred sixty-six thousand, nine hundred".