12985835520 has 448 divisors, whose sum is σ = 49120690176. Its totient is φ = 2866544640.

The previous prime is 12985835507. The next prime is 12985835539. The reversal of 12985835520 is 2553858921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12985835520.

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, 26664717 + ... + 26665203.

Almost surely, 2^12985835520 is an apocalyptic number.

12985835520 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 12985835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24560345088).

12985835520 is an abundant number, since it is smaller than the sum of its proper divisors (36134854656).

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

12985835520 is an equidigital number, since it uses as much as digits as its factorization.

12985835520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 12985835520 in words is "twelve billion, nine hundred eighty-five million, eight hundred thirty-five thousand, five hundred twenty".