27888840000 has 1680 divisors, whose sum is σ = 130260303360. Its totient is φ = 5806080000.

The previous prime is 27888839999. The next prime is 27888840019. The reversal of 27888840000 is 4888872.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 899639985 + ... + 899640015.

Almost surely, 2^27888840000 is an apocalyptic number.

27888840000 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 27888840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65130151680).

27888840000 is an abundant number, since it is smaller than the sum of its proper divisors (102371463360).

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

27888840000 is a wasteful number, since it uses less digits than its factorization.

27888840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 27888840000 in words is "twenty-seven billion, eight hundred eighty-eight million, eight hundred forty thousand".