27561340800 has 768 divisors, whose sum is σ = 116361600000. Its totient is φ = 6240706560.

The previous prime is 27561340789. The next prime is 27561340813. The reversal of 27561340800 is 804316572.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120355086 + ... + 120355314.

It is an arithmetic number, because the mean of its divisors is an integer number (151512500).

Almost surely, 2^27561340800 is an apocalyptic number.

27561340800 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 27561340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58180800000).

27561340800 is an abundant number, since it is smaller than the sum of its proper divisors (88800259200).

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

27561340800 is a wasteful number, since it uses less digits than its factorization.

27561340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27561340800 in words is "twenty-seven billion, five hundred sixty-one million, three hundred forty thousand, eight hundred".