27771360408 has 128 divisors (see below), whose sum is σ = 84374784000. Its totient is φ = 8393650560.

The previous prime is 27771360401. The next prime is 27771360437. The reversal of 27771360408 is 80406317772.

27771360408 is a `hidden beast` number, since 27 + 7 + 7 + 13 + 604 + 0 + 8 = 666.

It is a super-2 number, since 2×27771360408² (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 (27771360401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909241 + ... + 939287.

It is an arithmetic number, because the mean of its divisors is an integer number (659178000).

Almost surely, 2^27771360408 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 27771360408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42187392000).

27771360408 is an abundant number, since it is smaller than the sum of its proper divisors (56603423592).

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

27771360408 is a wasteful number, since it uses less digits than its factorization.

27771360408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30462 (or 30452 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 27771360408 in words is "twenty-seven billion, seven hundred seventy-one million, three hundred sixty thousand, four hundred eight".