27775017672 has 128 divisors (see below), whose sum is σ = 75850629120. Its totient is φ = 8449056000.

The previous prime is 27775017659. The next prime is 27775017713. The reversal of 27775017672 is 27671057772.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203522 + ... + 1226382.

It is an arithmetic number, because the mean of its divisors is an integer number (592583040).

Almost surely, 2^27775017672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27775017672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37925314560).

27775017672 is an abundant number, since it is smaller than the sum of its proper divisors (48075611448).

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

27775017672 is a wasteful number, since it uses less digits than its factorization.

27775017672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22995 (or 22991 counting only the distinct ones).

The product of its (nonzero) digits is 2016840, while the sum is 51.

The spelling of 27775017672 in words is "twenty-seven billion, seven hundred seventy-five million, seventeen thousand, six hundred seventy-two".