27825293440 has 256 divisors, whose sum is σ = 78455070720. Its totient is φ = 9239261184.

The previous prime is 27825293423. The next prime is 27825293479. The reversal of 27825293440 is 4439252872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21687039 + ... + 21688321.

It is an arithmetic number, because the mean of its divisors is an integer number (306465120).

Almost surely, 2^27825293440 is an apocalyptic number.

27825293440 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 27825293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39227535360).

27825293440 is an abundant number, since it is smaller than the sum of its proper divisors (50629777280).

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

27825293440 is a wasteful number, since it uses less digits than its factorization.

27825293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 27825293440 in words is "twenty-seven billion, eight hundred twenty-five million, two hundred ninety-three thousand, four hundred forty".