9952283607552 has 640 divisors, whose sum is σ = 34874807869440. Its totient is φ = 2762532864000.

The previous prime is 9952283607503. The next prime is 9952283607559. The reversal of 9952283607552 is 2557063822599.

9952283607552 is a `hidden beast` number, since 9 + 9 + 52 + 28 + 3 + 6 + 0 + 7 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9952283607552.

It is not an unprimeable number, because it can be changed into a prime (9952283607559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258945777 + ... + 258984207.

It is an arithmetic number, because the mean of its divisors is an integer number (54491887296).

Almost surely, 2^{9952283607552} 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 9952283607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437403934720).

9952283607552 is an abundant number, since it is smaller than the sum of its proper divisors (24922524261888).

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

9952283607552 is a wasteful number, since it uses less digits than its factorization.

9952283607552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38613 (or 38591 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 9952283607552 in words is "nine trillion, nine hundred fifty-two billion, two hundred eighty-three million, six hundred seven thousand, five hundred fifty-two".