985075041600 has 1344 divisors, whose sum is σ = 3966908601600. Its totient is φ = 237737410560.

The previous prime is 985075041593. The next prime is 985075041649. The reversal of 985075041600 is 6140570589.

985075041600 is a `hidden beast` number, since 9 + 85 + 0 + 7 + 504 + 1 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9206308747 + ... + 9206308853.

It is an arithmetic number, because the mean of its divisors is an integer number (2951568900).

Almost surely, 2^985075041600 is an apocalyptic number.

985075041600 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 985075041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983454300800).

985075041600 is an abundant number, since it is smaller than the sum of its proper divisors (2981833560000).

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

985075041600 is a wasteful number, since it uses less digits than its factorization.

985075041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 985075041600 in words is "nine hundred eighty-five billion, seventy-five million, forty-one thousand, six hundred".