27144519400 has 96 divisors (see below), whose sum is σ = 64904328000. Its totient is φ = 10553438720.

The previous prime is 27144519397. The next prime is 27144519439. The reversal of 27144519400 is 491544172.

It is a self number, because there is not a number n which added to its sum of digits gives 27144519400.

It is an unprimeable number.

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, 1037277 + ... + 1063123.

It is an arithmetic number, because the mean of its divisors is an integer number (676086750).

Almost surely, 2^27144519400 is an apocalyptic number.

27144519400 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 27144519400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32452164000).

27144519400 is an abundant number, since it is smaller than the sum of its proper divisors (37759808600).

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

27144519400 is a wasteful number, since it uses less digits than its factorization.

27144519400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26011 (or 26002 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 27144519400 in words is "twenty-seven billion, one hundred forty-four million, five hundred nineteen thousand, four hundred".