27668897589000 has 64 divisors (see below), whose sum is σ = 86326960487040. Its totient is φ = 7378372689600.

The previous prime is 27668897588963. The next prime is 27668897589001. The reversal of 27668897589000 is 98579886672.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is not an unprimeable number, because it can be changed into a prime (27668897589001) 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, 4611479932 + ... + 4611485931.

It is an arithmetic number, because the mean of its divisors is an integer number (1348858757610).

Almost surely, 2^{27668897589000} is an apocalyptic number.

27668897589000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27668897589000 is an abundant number, since it is smaller than the sum of its proper divisors (58658062898040).

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

27668897589000 is a wasteful number, since it uses less digits than its factorization.

27668897589000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9222965887 (or 9222965873 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 75.

The spelling of 27668897589000 in words is "twenty-seven trillion, six hundred sixty-eight billion, eight hundred ninety-seven million, five hundred eighty-nine thousand".