9873600408000 has 1792 divisors, whose sum is σ = 44023646085120. Its totient is φ = 2114961408000.

The previous prime is 9873600407999. The next prime is 9873600408019. The reversal of 9873600408000 is 8040063789.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7222823317 + ... + 7222824683.

Almost surely, 2^{9873600408000} is an apocalyptic number.

9873600408000 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 9873600408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011823042560).

9873600408000 is an abundant number, since it is smaller than the sum of its proper divisors (34150045677120).

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

9873600408000 is a wasteful number, since it uses less digits than its factorization.

9873600408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 9873600408000 in words is "nine trillion, eight hundred seventy-three billion, six hundred million, four hundred eight thousand".