27838255104 has 351 divisors, whose sum is σ = 89519512719. Its totient is φ = 8329052160.

The previous prime is 27838255097. The next prime is 27838255111. The reversal of 27838255104 is 40155283872.

The square root of 27838255104 is 166848.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (27838255097) and next prime (27838255111).

It is a self number, because there is not a number n which added to its sum of digits gives 27838255104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 352382937 + ... + 352383015.

Almost surely, 2^27838255104 is an apocalyptic number.

27838255104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27838255104 is the 166848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27838255104

27838255104 is an abundant number, since it is smaller than the sum of its proper divisors (61681257615).

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

27838255104 is an equidigital number, since it uses as much as digits as its factorization.

27838255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 27838255104 in words is "twenty-seven billion, eight hundred thirty-eight million, two hundred fifty-five thousand, one hundred four".