27838097414400 has 3456 divisors, whose sum is σ = 124267246387200. Its totient is φ = 5328587980800.

The previous prime is 27838097414377. The next prime is 27838097414411. The reversal of 27838097414400 is 441479083872.

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 383 ways as a sum of consecutive naturals, for example, 58117113361 + ... + 58117113839.

Almost surely, 2^{27838097414400} is an apocalyptic number.

27838097414400 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 27838097414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62133623193600).

27838097414400 is an abundant number, since it is smaller than the sum of its proper divisors (96429148972800).

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

27838097414400 is a wasteful number, since it uses less digits than its factorization.

27838097414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 27838097414400 in words is "twenty-seven trillion, eight hundred thirty-eight billion, ninety-seven million, four hundred fourteen thousand, four hundred".