12409562880 has 1152 divisors, whose sum is σ = 54063636480. Its totient is φ = 2687385600.

The previous prime is 12409562843. The next prime is 12409562923. The reversal of 12409562880 is 8826590421.

12409562880 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 9 + 562 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400308465 + ... + 400308495.

It is an arithmetic number, because the mean of its divisors is an integer number (46930240).

Almost surely, 2^12409562880 is an apocalyptic number.

12409562880 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 12409562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27031818240).

12409562880 is an abundant number, since it is smaller than the sum of its proper divisors (41654073600).

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

12409562880 is an equidigital number, since it uses as much as digits as its factorization.

12409562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12409562880 in words is "twelve billion, four hundred nine million, five hundred sixty-two thousand, eight hundred eighty".