9953281728432 has 320 divisors, whose sum is σ = 34579068226560. Its totient is φ = 2675936342016.

The previous prime is 9953281728391. The next prime is 9953281728479. The reversal of 9953281728432 is 2348271823599.

9953281728432 is a `hidden beast` number, since 9 + 9 + 5 + 3 + 28 + 172 + 8 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9953281728432.

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 63 ways as a sum of consecutive naturals, for example, 273626598 + ... + 273662970.

It is an arithmetic number, because the mean of its divisors is an integer number (108059588208).

Almost surely, 2^{9953281728432} 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 9953281728432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17289534113280).

9953281728432 is an abundant number, since it is smaller than the sum of its proper divisors (24625786498128).

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

9953281728432 is a wasteful number, since it uses less digits than its factorization.

9953281728432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41737 (or 41725 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 9953281728432 in words is "nine trillion, nine hundred fifty-three billion, two hundred eighty-one million, seven hundred twenty-eight thousand, four hundred thirty-two".