12513588480 has 864 divisors, whose sum is σ = 50463907200. Its totient is φ = 2924937216.

The previous prime is 12513588457. The next prime is 12513588487. The reversal of 12513588480 is 8488531521.

12513588480 is a `hidden beast` number, since 1 + 2 + 513 + 58 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (12513588487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212094691 + ... + 212094749.

It is an arithmetic number, because the mean of its divisors is an integer number (58407300).

Almost surely, 2^12513588480 is an apocalyptic number.

12513588480 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 12513588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25231953600).

12513588480 is an abundant number, since it is smaller than the sum of its proper divisors (37950318720).

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

12513588480 is a wasteful number, since it uses less digits than its factorization.

12513588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 12513588480 in words is "twelve billion, five hundred thirteen million, five hundred eighty-eight thousand, four hundred eighty".