27120364800 has 432 divisors, whose sum is σ = 92384712000. Its totient is φ = 7003504640.

The previous prime is 27120364793. The next prime is 27120364807. The reversal of 27120364800 is 846302172.

It is an interprime number because it is at equal distance from previous prime (27120364793) and next prime (27120364807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27120364807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 100819066 + ... + 100819334.

It is an arithmetic number, because the mean of its divisors is an integer number (213853500).

Almost surely, 2^27120364800 is an apocalyptic number.

27120364800 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 27120364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46192356000).

27120364800 is an abundant number, since it is smaller than the sum of its proper divisors (65264347200).

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

27120364800 is a wasteful number, since it uses less digits than its factorization.

27120364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 27120364800 its reverse (846302172), we get a palindrome (27966666972).

The spelling of 27120364800 in words is "twenty-seven billion, one hundred twenty million, three hundred sixty-four thousand, eight hundred".