9975323553888 has 1728 divisors, whose sum is σ = 38623945651200. Its totient is φ = 2229379891200.

The previous prime is 9975323553857. The next prime is 9975323553889. The reversal of 9975323553888 is 8883553235799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975323553889) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5331545593 + ... + 5331547463.

It is an arithmetic number, because the mean of its divisors is an integer number (22351820400).

Almost surely, 2^{9975323553888} is an apocalyptic number.

9975323553888 is a gapful number since it is divisible by the number (98) 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 9975323553888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311972825600).

9975323553888 is an abundant number, since it is smaller than the sum of its proper divisors (28648622097312).

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

9975323553888 is a wasteful number, since it uses less digits than its factorization.

9975323553888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1959 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 75.

The spelling of 9975323553888 in words is "nine trillion, nine hundred seventy-five billion, three hundred twenty-three million, five hundred fifty-three thousand, eight hundred eighty-eight".