985629772800 has 1584 divisors, whose sum is σ = 3991394534400. Its totient is φ = 240073113600.

The previous prime is 985629772733. The next prime is 985629772811. The reversal of 985629772800 is 8277926589.

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 143 ways as a sum of consecutive naturals, for example, 3664051066 + ... + 3664051334.

Almost surely, 2^985629772800 is an apocalyptic number.

985629772800 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 985629772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995697267200).

985629772800 is an abundant number, since it is smaller than the sum of its proper divisors (3005764761600).

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

985629772800 is a wasteful number, since it uses less digits than its factorization.

985629772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 985629772800 in words is "nine hundred eighty-five billion, six hundred twenty-nine million, seven hundred seventy-two thousand, eight hundred".