27790809975568 has 40 divisors (see below), whose sum is σ = 54773800725600. Its totient is φ = 13655777397504.

The previous prime is 27790809975559. The next prime is 27790809975611. The reversal of 27790809975568 is 86557990809772.

It is a happy number.

It is a Smith number, since the sum of its digits (82) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27790809975491 and 27790809975500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1292733 + ... + 7566556.

It is an arithmetic number, because the mean of its divisors is an integer number (1369345018140).

Almost surely, 2^{27790809975568} is an apocalyptic number.

It is an amenable number.

27790809975568 is a deficient number, since it is larger than the sum of its proper divisors (26982990750032).

27790809975568 is a wasteful number, since it uses less digits than its factorization.

27790809975568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862679 (or 8862673 counting only the distinct ones).

The product of its (nonzero) digits is 4800902400, while the sum is 82.

The spelling of 27790809975568 in words is "twenty-seven trillion, seven hundred ninety billion, eight hundred nine million, nine hundred seventy-five thousand, five hundred sixty-eight".