985073242800 has 240 divisors, whose sum is σ = 3244574789280. Its totient is φ = 255363563520.

The previous prime is 985073242757. The next prime is 985073242819. The reversal of 985073242800 is 8242370589.

985073242800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 985073242800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6861352 + ... + 7003448.

It is an arithmetic number, because the mean of its divisors is an integer number (13519061622).

Almost surely, 2^985073242800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985073242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622287394640).

985073242800 is an abundant number, since it is smaller than the sum of its proper divisors (2259501546480).

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

985073242800 is a wasteful number, since it uses less digits than its factorization.

985073242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142280 (or 142269 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 985073242800 in words is "nine hundred eighty-five billion, seventy-three million, two hundred forty-two thousand, eight hundred".