12803653632 has 480 divisors, whose sum is σ = 45297100800. Its totient is φ = 3114270720.

The previous prime is 12803653631. The next prime is 12803653637. The reversal of 12803653632 is 23635630821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803653631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64339869 + ... + 64340067.

It is an arithmetic number, because the mean of its divisors is an integer number (94368960).

Almost surely, 2^12803653632 is an apocalyptic number.

12803653632 is a gapful number since it is divisible by the number (12) 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 12803653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22648550400).

12803653632 is an abundant number, since it is smaller than the sum of its proper divisors (32493447168).

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

12803653632 is a wasteful number, since it uses less digits than its factorization.

12803653632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

It can be divided in two parts, 12803 and 653632, that added together give a triangular number (666435 = T₁₁₅₄).

The spelling of 12803653632 in words is "twelve billion, eight hundred three million, six hundred fifty-three thousand, six hundred thirty-two".