12535745280 has 432 divisors, whose sum is σ = 42867095040. Its totient is φ = 3119800320.

The previous prime is 12535745279. The next prime is 12535745293. The reversal of 12535745280 is 8254753521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158680281 + ... + 158680359.

Almost surely, 2^12535745280 is an apocalyptic number.

12535745280 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 12535745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21433547520).

12535745280 is an abundant number, since it is smaller than the sum of its proper divisors (30331349760).

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

12535745280 is an equidigital number, since it uses as much as digits as its factorization.

12535745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 12535745280 in words is "twelve billion, five hundred thirty-five million, seven hundred forty-five thousand, two hundred eighty".