27909242880 has 480 divisors, whose sum is σ = 96885465600. Its totient is φ = 6837239808.

The previous prime is 27909242863. The next prime is 27909242897. The reversal of 27909242880 is 8824290972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27909242863) and next prime (27909242897).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200785851 + ... + 200785989.

It is an arithmetic number, because the mean of its divisors is an integer number (201844720).

Almost surely, 2^27909242880 is an apocalyptic number.

27909242880 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 27909242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48442732800).

27909242880 is an abundant number, since it is smaller than the sum of its proper divisors (68976222720).

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

27909242880 is a wasteful number, since it uses less digits than its factorization.

27909242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 27909242880 in words is "twenty-seven billion, nine hundred nine million, two hundred forty-two thousand, eight hundred eighty".