12827662848 has 960 divisors, whose sum is σ = 52048668672. Its totient is φ = 3045703680.

The previous prime is 12827662847. The next prime is 12827662849. The reversal of 12827662848 is 84826672821.

12827662848 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 7 + 6 + 628 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12827662847) and next prime (12827662849).

It is a super-5 number, since 5×12827662848⁵ (a number of 52 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12827662794 and 12827662803.

It is not an unprimeable number, because it can be changed into a prime (12827662847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124540365 + ... + 124540467.

Almost surely, 2^12827662848 is an apocalyptic number.

12827662848 is a gapful number since it is divisible by the number (18) 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 12827662848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26024334336).

12827662848 is an abundant number, since it is smaller than the sum of its proper divisors (39221005824).

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

12827662848 is a wasteful number, since it uses less digits than its factorization.

12827662848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 12827662848 in words is "twelve billion, eight hundred twenty-seven million, six hundred sixty-two thousand, eight hundred forty-eight".