27444050400 has 144 divisors (see below), whose sum is σ = 96202061424. Its totient is φ = 6755450880.

The previous prime is 27444050353. The next prime is 27444050401. The reversal of 27444050400 is 405044472.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27444050401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408609 + ... + 471008.

It is an arithmetic number, because the mean of its divisors is an integer number (668069871).

Almost surely, 2^27444050400 is an apocalyptic number.

27444050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27444050400 is an abundant number, since it is smaller than the sum of its proper divisors (68758011024).

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

27444050400 is a wasteful number, since it uses less digits than its factorization.

27444050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879653 (or 879640 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

Adding to 27444050400 its reverse (405044472), we get a palindrome (27849094872).

The spelling of 27444050400 in words is "twenty-seven billion, four hundred forty-four million, fifty thousand, four hundred".