12459858480 has 160 divisors (see below), whose sum is σ = 42967339200. Its totient is φ = 3318755328.

The previous prime is 12459858449. The next prime is 12459858503. The reversal of 12459858480 is 8485895421.

12459858480 is a `hidden beast` number, since 1 + 2 + 4 + 59 + 8 + 584 + 8 + 0 = 666.

It is a super-3 number, since 3×12459858480³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176582 + ... + 2182298.

It is an arithmetic number, because the mean of its divisors is an integer number (268545870).

Almost surely, 2^12459858480 is an apocalyptic number.

12459858480 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 12459858480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21483669600).

12459858480 is an abundant number, since it is smaller than the sum of its proper divisors (30507480720).

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

12459858480 is a wasteful number, since it uses less digits than its factorization.

12459858480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 12459858480 in words is "twelve billion, four hundred fifty-nine million, eight hundred fifty-eight thousand, four hundred eighty".