27557722640656 has 80 divisors (see below), whose sum is σ = 58291654939056. Its totient is φ = 12543913525248.

The previous prime is 27557722640653. The next prime is 27557722640759. The reversal of 27557722640656 is 65604622775572.

It can be written as a sum of positive squares in 8 ways, for example, as 200471107600 + 27357251533056 = 447740^2 + 5230416^2 .

It is a super-2 number, since 2×27557722640656² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27557722640653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282267306 + ... + 282364918.

Almost surely, 2^{27557722640656} is an apocalyptic number.

27557722640656 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 27557722640656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29145827469528).

27557722640656 is an abundant number, since it is smaller than the sum of its proper divisors (30733932298400).

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

27557722640656 is a wasteful number, since it uses less digits than its factorization.

27557722640656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116300 (or 116294 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 64.

The spelling of 27557722640656 in words is "twenty-seven trillion, five hundred fifty-seven billion, seven hundred twenty-two million, six hundred forty thousand, six hundred fifty-six".