9875813908800 has 672 divisors, whose sum is σ = 38393498016000. Its totient is φ = 2174539530240.

The previous prime is 9875813908769. The next prime is 9875813908843. The reversal of 9875813908800 is 88093185789.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9875813908800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437494314 + ... + 437516886.

Almost surely, 2^{9875813908800} 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 9875813908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19196749008000).

9875813908800 is an abundant number, since it is smaller than the sum of its proper divisors (28517684107200).

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

9875813908800 is a wasteful number, since it uses less digits than its factorization.

9875813908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23083 (or 23068 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 66.

The spelling of 9875813908800 in words is "nine trillion, eight hundred seventy-five billion, eight hundred thirteen million, nine hundred eight thousand, eight hundred".