9953338982400 has 2052 divisors, whose sum is σ = 42063147551880. Its totient is φ = 2228433715200.

The previous prime is 9953338982381. The next prime is 9953338982401. The reversal of 9953338982400 is 42898333599.

9953338982400 is a `hidden beast` number, since 9 + 9 + 5 + 3 + 3 + 389 + 8 + 240 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953338982401) 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 107 ways as a sum of consecutive naturals, for example, 343218585586 + ... + 343218585614.

Almost surely, 2^{9953338982400} is an apocalyptic number.

9953338982400 is a gapful number since it is divisible by the number (90) 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 9953338982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031573775940).

9953338982400 is an abundant number, since it is smaller than the sum of its proper divisors (32109808569480).

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

9953338982400 is a wasteful number, since it uses less digits than its factorization.

9953338982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 9953338982400 in words is "nine trillion, nine hundred fifty-three billion, three hundred thirty-eight million, nine hundred eighty-two thousand, four hundred".