27825805500 has 96 divisors (see below), whose sum is σ = 81939574080. Its totient is φ = 7336806400.

The previous prime is 27825805451. The next prime is 27825805517. The reversal of 27825805500 is 550852872.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29284 + ... + 237716.

It is an arithmetic number, because the mean of its divisors is an integer number (853537230).

Almost surely, 2^27825805500 is an apocalyptic number.

27825805500 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 27825805500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40969787040).

27825805500 is an abundant number, since it is smaller than the sum of its proper divisors (54113768580).

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

27825805500 is a wasteful number, since it uses less digits than its factorization.

27825805500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208544 (or 208532 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 27825805500 in words is "twenty-seven billion, eight hundred twenty-five million, eight hundred five thousand, five hundred".