27897404502240 has 1728 divisors, whose sum is σ = 123355696988160. Its totient is φ = 5687194705920.

The previous prime is 27897404502239. The next prime is 27897404502263. The reversal of 27897404502240 is 4220540479872.

27897404502240 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 7 + 404 + 5 + 0 + 224 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3405856545 + ... + 3405864735.

It is an arithmetic number, because the mean of its divisors is an integer number (71386398720).

Almost surely, 2^{27897404502240} is an apocalyptic number.

27897404502240 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 27897404502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61677848494080).

27897404502240 is an abundant number, since it is smaller than the sum of its proper divisors (95458292485920).

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

27897404502240 is a wasteful number, since it uses less digits than its factorization.

27897404502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 27897404502240 in words is "twenty-seven trillion, eight hundred ninety-seven billion, four hundred four million, five hundred two thousand, two hundred forty".