12457082880 has 384 divisors, whose sum is σ = 48318379200. Its totient is φ = 3019898880.

The previous prime is 12457082861. The next prime is 12457082881. The reversal of 12457082880 is 8828075421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12457082881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132462075 + ... + 1132462085.

Almost surely, 2^12457082880 is an apocalyptic number.

12457082880 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 12457082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24159189600).

12457082880 is an abundant number, since it is smaller than the sum of its proper divisors (35861296320).

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

12457082880 is an frugal number, since it uses more digits than its factorization.

12457082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

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

The spelling of 12457082880 in words is "twelve billion, four hundred fifty-seven million, eighty-two thousand, eight hundred eighty".