27785552760 has 384 divisors, whose sum is σ = 110156267520. Its totient is φ = 5929168896.

The previous prime is 27785552749. The next prime is 27785552779. The reversal of 27785552760 is 6725558772.

27785552760 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 55 + 527 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27785552697 and 27785552706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5438127 + ... + 5443233.

It is an arithmetic number, because the mean of its divisors is an integer number (286865280).

Almost surely, 2^27785552760 is an apocalyptic number.

27785552760 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 27785552760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55078133760).

27785552760 is an abundant number, since it is smaller than the sum of its proper divisors (82370714760).

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

27785552760 is a wasteful number, since it uses less digits than its factorization.

27785552760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 27785552760 in words is "twenty-seven billion, seven hundred eighty-five million, five hundred fifty-two thousand, seven hundred sixty".