27660045120 has 224 divisors, whose sum is σ = 91065461760. Its totient is φ = 7105658880.

The previous prime is 27660045097. The next prime is 27660045139. The reversal of 27660045120 is 2154006672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6932086 + ... + 6936074.

It is an arithmetic number, because the mean of its divisors is an integer number (406542240).

Almost surely, 2^27660045120 is an apocalyptic number.

27660045120 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 27660045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532730880).

27660045120 is an abundant number, since it is smaller than the sum of its proper divisors (63405416640).

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

27660045120 is a wasteful number, since it uses less digits than its factorization.

27660045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 27660045120 in words is "twenty-seven billion, six hundred sixty million, forty-five thousand, one hundred twenty".