985262796900 has 288 divisors, whose sum is σ = 3243331857920. Its totient is φ = 256449836160.

The previous prime is 985262796899. The next prime is 985262796911. The reversal of 985262796900 is 9697262589.

It is a super-2 number, since 2×985262796900² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311494719 + ... + 311497881.

Almost surely, 2^985262796900 is an apocalyptic number.

985262796900 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 985262796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621665928960).

985262796900 is an abundant number, since it is smaller than the sum of its proper divisors (2258069061020).

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

985262796900 is a wasteful number, since it uses less digits than its factorization.

985262796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 985262796900 in words is "nine hundred eighty-five billion, two hundred sixty-two million, seven hundred ninety-six thousand, nine hundred".