27797510016 has 320 divisors, whose sum is σ = 91412750880. Its totient is φ = 8340406272.

The previous prime is 27797509981. The next prime is 27797510029. The reversal of 27797510016 is 61001579772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4050460 + ... + 4057316.

Almost surely, 2^27797510016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27797510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45706375440).

27797510016 is an abundant number, since it is smaller than the sum of its proper divisors (63615240864).

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

27797510016 is a wasteful number, since it uses less digits than its factorization.

27797510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 27797510016 in words is "twenty-seven billion, seven hundred ninety-seven million, five hundred ten thousand, sixteen".