27726832559328 has 48 divisors (see below), whose sum is σ = 83180497680000. Its totient is φ = 7921952159616.

The previous prime is 27726832559281. The next prime is 27726832559329. The reversal of 27726832559328 is 82395523862772.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×27726832559328² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27726832559329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20630083078 + ... + 20630084421.

It is an arithmetic number, because the mean of its divisors is an integer number (1732927035000).

Almost surely, 2^{27726832559328} is an apocalyptic number.

27726832559328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27726832559328 is an abundant number, since it is smaller than the sum of its proper divisors (55453665120672).

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

27726832559328 is a wasteful number, since it uses less digits than its factorization.

27726832559328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41260167519 (or 41260167511 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 69.

The spelling of 27726832559328 in words is "twenty-seven trillion, seven hundred twenty-six billion, eight hundred thirty-two million, five hundred fifty-nine thousand, three hundred twenty-eight".