27751021100 has 72 divisors (see below), whose sum is σ = 65813631408. Its totient is φ = 10072940800.

The previous prime is 27751021091. The next prime is 27751021117. The reversal of 27751021100 is 112015772.

It is a self number, because there is not a number n which added to its sum of digits gives 27751021100.

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, 590054 + ... + 635346.

It is an arithmetic number, because the mean of its divisors is an integer number (914078214).

Almost surely, 2^27751021100 is an apocalyptic number.

27751021100 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 27751021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32906815704).

27751021100 is an abundant number, since it is smaller than the sum of its proper divisors (38062610308).

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

27751021100 is a wasteful number, since it uses less digits than its factorization.

27751021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45875 (or 45868 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

Adding to 27751021100 its reverse (112015772), we get a palindrome (27863036872).

The spelling of 27751021100 in words is "twenty-seven billion, seven hundred fifty-one million, twenty-one thousand, one hundred".