27120255840 has 192 divisors, whose sum is σ = 96941214720. Its totient is φ = 7078141440.

The previous prime is 27120255829. The next prime is 27120255847. The reversal of 27120255840 is 4855202172.

It is a happy number.

27120255840 is a `hidden beast` number, since 2 + 71 + 2 + 0 + 2 + 5 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27120255795 and 27120255804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27120255847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136255 + ... + 269825.

It is an arithmetic number, because the mean of its divisors is an integer number (504902160).

Almost surely, 2^27120255840 is an apocalyptic number.

27120255840 is a gapful number since it is divisible by the number (20) 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 27120255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470607360).

27120255840 is an abundant number, since it is smaller than the sum of its proper divisors (69820958880).

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

27120255840 is a wasteful number, since it uses less digits than its factorization.

27120255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133642 (or 133628 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 27120255840 in words is "twenty-seven billion, one hundred twenty million, two hundred fifty-five thousand, eight hundred forty".