12408590880 has 576 divisors, whose sum is σ = 50721914880. Its totient is φ = 2806078464.

The previous prime is 12408590879. The next prime is 12408590893. The reversal of 12408590880 is 8809580421.

It is a happy number.

12408590880 is a `hidden beast` number, since 12 + 40 + 8 + 590 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34564141 + ... + 34564499.

It is an arithmetic number, because the mean of its divisors is an integer number (88058880).

Almost surely, 2^12408590880 is an apocalyptic number.

12408590880 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 12408590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

12408590880 is an abundant number, since it is smaller than the sum of its proper divisors (38313324000).

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

12408590880 is a wasteful number, since it uses less digits than its factorization.

12408590880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12408590880 in words is "twelve billion, four hundred eight million, five hundred ninety thousand, eight hundred eighty".