985332100000 has 324 divisors, whose sum is σ = 2516856008562. Its totient is φ = 379693440000.

The previous prime is 985332099959. The next prime is 985332100021. The reversal of 985332100000 is 1233589.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 389181336336 + 596150763664 = 623844^2 + 772108^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13497699964 + ... + 13497700036.

Almost surely, 2^985332100000 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 985332100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258428004281).

985332100000 is an abundant number, since it is smaller than the sum of its proper divisors (1531523908562).

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

985332100000 is an frugal number, since it uses more digits than its factorization.

985332100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 985332100000 its reverse (1233589), we get a palindrome (985333333589).

The spelling of 985332100000 in words is "nine hundred eighty-five billion, three hundred thirty-two million, one hundred thousand".