12635816160 has 192 divisors, whose sum is σ = 43972346880. Its totient is φ = 3024353280.

The previous prime is 12635816119. The next prime is 12635816197. The reversal of 12635816160 is 6161853621.

It is a congruent number.

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, 401974 + ... + 432266.

It is an arithmetic number, because the mean of its divisors is an integer number (229022640).

Almost surely, 2^12635816160 is an apocalyptic number.

12635816160 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 12635816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986173440).

12635816160 is an abundant number, since it is smaller than the sum of its proper divisors (31336530720).

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

12635816160 is a wasteful number, since it uses less digits than its factorization.

12635816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30401 (or 30393 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 12635816160 in words is "twelve billion, six hundred thirty-five million, eight hundred sixteen thousand, one hundred sixty".