27884113920 has 624 divisors, whose sum is σ = 108193542912. Its totient is φ = 6847856640.

The previous prime is 27884113913. The next prime is 27884113969. The reversal of 27884113920 is 2931148872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64696105 + ... + 64696535.

It is an arithmetic number, because the mean of its divisors is an integer number (173387088).

Almost surely, 2^27884113920 is an apocalyptic number.

27884113920 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 27884113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54096771456).

27884113920 is an abundant number, since it is smaller than the sum of its proper divisors (80309428992).

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

27884113920 is an equidigital number, since it uses as much as digits as its factorization.

27884113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 27884113920 in words is "twenty-seven billion, eight hundred eighty-four million, one hundred thirteen thousand, nine hundred twenty".