985209350400 has 1080 divisors, whose sum is σ = 4208103101664. Its totient is φ = 224767180800.

The previous prime is 985209350347. The next prime is 985209350401. The reversal of 985209350400 is 4053902589.

985209350400 is a `hidden beast` number, since 9 + 8 + 5 + 209 + 35 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (985209350401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96935719 + ... + 96945881.

Almost surely, 2^985209350400 is an apocalyptic number.

985209350400 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 985209350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104051550832).

985209350400 is an abundant number, since it is smaller than the sum of its proper divisors (3222893751264).

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

985209350400 is a wasteful number, since it uses less digits than its factorization.

985209350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10229 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 985209350400 in words is "nine hundred eighty-five billion, two hundred nine million, three hundred fifty thousand, four hundred".