27725761856 has 112 divisors (see below), whose sum is σ = 66038333760. Its totient is φ = 11409776640.

The previous prime is 27725761823. The next prime is 27725761859. The reversal of 27725761856 is 65816752772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27725761859) 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, 217151 + ... + 320321.

It is an arithmetic number, because the mean of its divisors is an integer number (589627980).

Almost surely, 2^27725761856 is an apocalyptic number.

27725761856 is a gapful number since it is divisible by the number (26) 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 27725761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33019166880).

27725761856 is an abundant number, since it is smaller than the sum of its proper divisors (38312571904).

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

27725761856 is a wasteful number, since it uses less digits than its factorization.

27725761856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103232 (or 103222 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 56.

The spelling of 27725761856 in words is "twenty-seven billion, seven hundred twenty-five million, seven hundred sixty-one thousand, eight hundred fifty-six".