27975256848 has 640 divisors, whose sum is σ = 107873095680. Its totient is φ = 6718464000.

The previous prime is 27975256847. The next prime is 27975256853. The reversal of 27975256848 is 84865257972.

27975256848 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 525 + 68 + 48 = 666.

It is a super-2 number, since 2×27975256848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (27975256847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34494363 + ... + 34495173.

It is an arithmetic number, because the mean of its divisors is an integer number (168551712).

Almost surely, 2^27975256848 is an apocalyptic number.

27975256848 is a gapful number since it is divisible by the number (28) 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 27975256848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936547840).

27975256848 is an abundant number, since it is smaller than the sum of its proper divisors (79897838832).

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

27975256848 is a wasteful number, since it uses less digits than its factorization.

27975256848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 27975256848 in words is "twenty-seven billion, nine hundred seventy-five million, two hundred fifty-six thousand, eight hundred forty-eight".