9953281629312 has 256 divisors, whose sum is σ = 30352364497920. Its totient is φ = 2830916874240.

The previous prime is 9953281629299. The next prime is 9953281629341. The reversal of 9953281629312 is 2139261823599.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831443487 + ... + 831455457.

It is an arithmetic number, because the mean of its divisors is an integer number (118563923820).

Almost surely, 2^{9953281629312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9953281629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176182248960).

9953281629312 is an abundant number, since it is smaller than the sum of its proper divisors (20399082868608).

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

9953281629312 is a wasteful number, since it uses less digits than its factorization.

9953281629312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371 (or 13359 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 60.

The spelling of 9953281629312 in words is "nine trillion, nine hundred fifty-three billion, two hundred eighty-one million, six hundred twenty-nine thousand, three hundred twelve".