27217320400 has 60 divisors (see below), whose sum is σ = 65530082592. Its totient is φ = 10863541120.

The previous prime is 27217320379. The next prime is 27217320401. The reversal of 27217320400 is 402371272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27217320401) 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 11 ways as a sum of consecutive naturals, for example, 113949 + ... + 259651.

Almost surely, 2^27217320400 is an apocalyptic number.

27217320400 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 27217320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32765041296).

27217320400 is an abundant number, since it is smaller than the sum of its proper divisors (38312762192).

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

27217320400 is a wasteful number, since it uses less digits than its factorization.

27217320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146188 (or 146177 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

Adding to 27217320400 its reverse (402371272), we get a palindrome (27619691672).

The spelling of 27217320400 in words is "twenty-seven billion, two hundred seventeen million, three hundred twenty thousand, four hundred".