27917276849280 has 2048 divisors, whose sum is σ = 130449815193600. Its totient is φ = 5543324024832.

The previous prime is 27917276849261. The next prime is 27917276849323. The reversal of 27917276849280 is 8294867271972.

27917276849280 is a `hidden beast` number, since 2 + 7 + 9 + 1 + 72 + 7 + 68 + 492 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27917276849199 and 27917276849208.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2165298514 + ... + 2165311406.

It is an arithmetic number, because the mean of its divisors is an integer number (63696198825).

Almost surely, 2^{27917276849280} is an apocalyptic number.

27917276849280 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 27917276849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65224907596800).

27917276849280 is an abundant number, since it is smaller than the sum of its proper divisors (102532538344320).

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

27917276849280 is a wasteful number, since it uses less digits than its factorization.

27917276849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12970 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 27917276849280 in words is "twenty-seven trillion, nine hundred seventeen billion, two hundred seventy-six million, eight hundred forty-nine thousand, two hundred eighty".