9884610220800 has 1728 divisors, whose sum is σ = 40348167552000. Its totient is φ = 2124251136000.

The previous prime is 9884610220783. The next prime is 9884610220817. The reversal of 9884610220800 is 80220164889.

It is an interprime number because it is at equal distance from previous prime (9884610220783) and next prime (9884610220817).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9884610220800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24649900600 + ... + 24649901000.

It is an arithmetic number, because the mean of its divisors is an integer number (23349634000).

Almost surely, 2^{9884610220800} 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 9884610220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174083776000).

9884610220800 is an abundant number, since it is smaller than the sum of its proper divisors (30463557331200).

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

9884610220800 is a wasteful number, since it uses less digits than its factorization.

9884610220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 9884610220800 in words is "nine trillion, eight hundred eighty-four billion, six hundred ten million, two hundred twenty thousand, eight hundred".