27779038160 has 80 divisors (see below), whose sum is σ = 68020080960. Its totient is φ = 10521446400.

The previous prime is 27779038151. The next prime is 27779038171. The reversal of 27779038160 is 6183097772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27779038160² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27779038099 and 27779038108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4302935 + ... + 4309385.

It is an arithmetic number, because the mean of its divisors is an integer number (850251012).

Almost surely, 2^27779038160 is an apocalyptic number.

27779038160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27779038160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34010040480).

27779038160 is an abundant number, since it is smaller than the sum of its proper divisors (40241042800).

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

27779038160 is a wasteful number, since it uses less digits than its factorization.

27779038160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9316 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 50.

The spelling of 27779038160 in words is "twenty-seven billion, seven hundred seventy-nine million, thirty-eight thousand, one hundred sixty".