9975355398400 has 864 divisors, whose sum is σ = 29719135353600. Its totient is φ = 3311953182720.

The previous prime is 9975355398397. The next prime is 9975355398427. The reversal of 9975355398400 is 48935535799.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9656684284 + ... + 9656685316.

It is an arithmetic number, because the mean of its divisors is an integer number (34397147400).

Almost surely, 2^{9975355398400} 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 9975355398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859567676800).

9975355398400 is an abundant number, since it is smaller than the sum of its proper divisors (19743779955200).

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

9975355398400 is a wasteful number, since it uses less digits than its factorization.

9975355398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 183708000, while the sum is 67.

The spelling of 9975355398400 in words is "nine trillion, nine hundred seventy-five billion, three hundred fifty-five million, three hundred ninety-eight thousand, four hundred".