12535985280 has 512 divisors, whose sum is σ = 49601180160. Its totient is φ = 2622357504.

The previous prime is 12535985279. The next prime is 12535985303. The reversal of 12535985280 is 8258953521.

It is a happy number.

12535985280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27430812 + ... + 27431268.

It is an arithmetic number, because the mean of its divisors is an integer number (96877305).

Almost surely, 2^12535985280 is an apocalyptic number.

12535985280 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 12535985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24800590080).

12535985280 is an abundant number, since it is smaller than the sum of its proper divisors (37065194880).

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

12535985280 is a wasteful number, since it uses less digits than its factorization.

12535985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

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

The spelling of 12535985280 in words is "twelve billion, five hundred thirty-five million, nine hundred eighty-five thousand, two hundred eighty".