27136036800 has 420 divisors, whose sum is σ = 102459165160. Its totient is φ = 7039457280.

The previous prime is 27136036751. The next prime is 27136036867. The reversal of 27136036800 is 863063172.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4792371 + ... + 4798029.

Almost surely, 2^27136036800 is an apocalyptic number.

27136036800 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 27136036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51229582580).

27136036800 is an abundant number, since it is smaller than the sum of its proper divisors (75323128360).

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

27136036800 is a wasteful number, since it uses less digits than its factorization.

27136036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 27136036800 its reverse (863063172), we get a palindrome (27999099972).

The spelling of 27136036800 in words is "twenty-seven billion, one hundred thirty-six million, thirty-six thousand, eight hundred".