985944960000 has 4400 divisors, whose sum is σ = 5199762543360. Its totient is φ = 179159040000.

The previous prime is 985944959977. The next prime is 985944960017. The reversal of 985944960000 is 69449589.

985944960000 is a `hidden beast` number, since 9 + 8 + 594 + 49 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4400).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 399 ways as a sum of consecutive naturals, for example, 51891839991 + ... + 51891840009.

Almost surely, 2^985944960000 is an apocalyptic number.

985944960000 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 985944960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599881271680).

985944960000 is an abundant number, since it is smaller than the sum of its proper divisors (4213817583360).

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

985944960000 is a wasteful number, since it uses less digits than its factorization.

985944960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 985944960000 in words is "nine hundred eighty-five billion, nine hundred forty-four million, nine hundred sixty thousand".