27655453329372 has 768 divisors, whose sum is σ = 85978522828800. Its totient is φ = 7657053465600.

The previous prime is 27655453329311. The next prime is 27655453329391. The reversal of 27655453329372 is 27392335455672.

27655453329372 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 5 + 4 + 533 + 2 + 93 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11966876097 + ... + 11966878407.

It is an arithmetic number, because the mean of its divisors is an integer number (111951201600).

Almost surely, 2^{27655453329372} is an apocalyptic number.

27655453329372 is a gapful number since it is divisible by the number (22) 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 27655453329372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42989261414400).

27655453329372 is an abundant number, since it is smaller than the sum of its proper divisors (58323069499428).

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

27655453329372 is a wasteful number, since it uses less digits than its factorization.

27655453329372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2486 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 63.

The spelling of 27655453329372 in words is "twenty-seven trillion, six hundred fifty-five billion, four hundred fifty-three million, three hundred twenty-nine thousand, three hundred seventy-two".