12827548800 has 720 divisors, whose sum is σ = 52158217650. Its totient is φ = 3102105600.

The previous prime is 12827548691. The next prime is 12827548829. The reversal of 12827548800 is 884572821.

It is a happy number.

12827548800 is a `hidden beast` number, since 1 + 2 + 8 + 27 + 548 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11773118016 + 1054430784 = 108504^2 + 32472^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 31362996 + ... + 31363404.

Almost surely, 2^12827548800 is an apocalyptic number.

12827548800 is a gapful number since it is divisible by the number (10) 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 12827548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26079108825).

12827548800 is an abundant number, since it is smaller than the sum of its proper divisors (39330668850).

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

12827548800 is a wasteful number, since it uses less digits than its factorization.

12827548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 12827548800 in words is "twelve billion, eight hundred twenty-seven million, five hundred forty-eight thousand, eight hundred".