27755136000 has 440 divisors, whose sum is σ = 103475702616. Its totient is φ = 7398604800.

The previous prime is 27755135999. The next prime is 27755136077. The reversal of 27755136000 is 63155772.

27755136000 is a `hidden beast` number, since 2 + 77 + 551 + 36 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7267221504 + 20487914496 = 85248^2 + 143136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10366662 + ... + 10369338.

Almost surely, 2^27755136000 is an apocalyptic number.

27755136000 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 27755136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51737851308).

27755136000 is an abundant number, since it is smaller than the sum of its proper divisors (75720566616).

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

27755136000 is an equidigital number, since it uses as much as digits as its factorization.

27755136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 27755136000 in words is "twenty-seven billion, seven hundred fifty-five million, one hundred thirty-six thousand".