985884556800 has 1920 divisors, whose sum is σ = 4081508766720. Its totient is φ = 206438400000.

The previous prime is 985884556751. The next prime is 985884556807. The reversal of 985884556800 is 8655488589.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985884556807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6529036725 + ... + 6529036875.

It is an arithmetic number, because the mean of its divisors is an integer number (2125785816).

Almost surely, 2^985884556800 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 985884556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040754383360).

985884556800 is an abundant number, since it is smaller than the sum of its proper divisors (3095624209920).

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

985884556800 is a wasteful number, since it uses less digits than its factorization.

985884556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 66.

The spelling of 985884556800 in words is "nine hundred eighty-five billion, eight hundred eighty-four million, five hundred fifty-six thousand, eight hundred".