12841415520 has 96 divisors (see below), whose sum is σ = 40745926368. Its totient is φ = 3399364608.

The previous prime is 12841415513. The next prime is 12841415567. The reversal of 12841415520 is 2551414821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31879 + ... + 163398.

It is an arithmetic number, because the mean of its divisors is an integer number (424436733).

Almost surely, 2^12841415520 is an apocalyptic number.

12841415520 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 12841415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20372963184).

12841415520 is an abundant number, since it is smaller than the sum of its proper divisors (27904510848).

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

12841415520 is a wasteful number, since it uses less digits than its factorization.

12841415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195432 (or 195424 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 12841415520 in words is "twelve billion, eight hundred forty-one million, four hundred fifteen thousand, five hundred twenty".