12825280310350 has 192 divisors, whose sum is σ = 26391104968320. Its totient is φ = 4617938124800.

The previous prime is 12825280310273. The next prime is 12825280310377. The reversal of 12825280310350 is 5301308252821.

It is a super-3 number, since 3×12825280310350³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284648424 + ... + 284693476.

It is an arithmetic number, because the mean of its divisors is an integer number (137453671710).

Almost surely, 2^{12825280310350} is an apocalyptic number.

12825280310350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12825280310350 is an abundant number, since it is smaller than the sum of its proper divisors (13565824657970).

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

12825280310350 is a wasteful number, since it uses less digits than its factorization.

12825280310350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45295 (or 45290 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 12825280310350 in words is "twelve trillion, eight hundred twenty-five billion, two hundred eighty million, three hundred ten thousand, three hundred fifty".