12408082560 has 192 divisors, whose sum is σ = 43892535960. Its totient is φ = 3228057600.

The previous prime is 12408082543. The next prime is 12408082567. The reversal of 12408082560 is 6528080421.

12408082560 is a `hidden beast` number, since 12 + 4 + 0 + 8 + 0 + 82 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10556329536 + 1851753024 = 102744^2 + 43032^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12408082567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209890 + ... + 262430.

Almost surely, 2^12408082560 is an apocalyptic number.

12408082560 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 12408082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946267980).

12408082560 is an abundant number, since it is smaller than the sum of its proper divisors (31484453400).

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

12408082560 is a wasteful number, since it uses less digits than its factorization.

12408082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52607 (or 52592 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12408082560 in words is "twelve billion, four hundred eight million, eighty-two thousand, five hundred sixty".