27320057856 has 408 divisors, whose sum is σ = 97328081760. Its totient is φ = 7191134208.

The previous prime is 27320057827. The next prime is 27320057873. The reversal of 27320057856 is 65875002372.

27320057856 is a `hidden beast` number, since 2 + 7 + 3 + 20 + 0 + 578 + 56 = 666.

It is a super-2 number, since 2×27320057856² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53673730 + ... + 53674238.

It is an arithmetic number, because the mean of its divisors is an integer number (238549220).

Almost surely, 2^27320057856 is an apocalyptic number.

27320057856 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 27320057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48664040880).

27320057856 is an abundant number, since it is smaller than the sum of its proper divisors (70008023904).

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

27320057856 is an equidigital number, since it uses as much as digits as its factorization.

27320057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 27320057856 in words is "twenty-seven billion, three hundred twenty million, fifty-seven thousand, eight hundred fifty-six".