27746890752 has 352 divisors, whose sum is σ = 88288911360. Its totient is φ = 7580712960.

The previous prime is 27746890727. The next prime is 27746890763. The reversal of 27746890752 is 25709864772.

It is a junction number, because it is equal to n+sod(n) for n = 27746890692 and 27746890701.

It is a congruent number.

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, 71328574 + ... + 71328962.

Almost surely, 2^27746890752 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 27746890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44144455680).

27746890752 is an abundant number, since it is smaller than the sum of its proper divisors (60542020608).

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

27746890752 is a wasteful number, since it uses less digits than its factorization.

27746890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 27746890752 in words is "twenty-seven billion, seven hundred forty-six million, eight hundred ninety thousand, seven hundred fifty-two".