27985472420 has 96 divisors (see below), whose sum is σ = 63785449728. Its totient is φ = 10272632832.

The previous prime is 27985472413. The next prime is 27985472429. The reversal of 27985472420 is 2427458972.

It is not an unprimeable number, because it can be changed into a prime (27985472429) by changing a digit.

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, 10627424 + ... + 10630056.

It is an arithmetic number, because the mean of its divisors is an integer number (664431768).

Almost surely, 2^27985472420 is an apocalyptic number.

27985472420 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 27985472420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31892724864).

27985472420 is an abundant number, since it is smaller than the sum of its proper divisors (35799977308).

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

27985472420 is a wasteful number, since it uses less digits than its factorization.

27985472420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 27985472420 in words is "twenty-seven billion, nine hundred eighty-five million, four hundred seventy-two thousand, four hundred twenty".