985733038080 has 1152 divisors, whose sum is σ = 4086276068160. Its totient is φ = 223590481920.

The previous prime is 985733038079. The next prime is 985733038127. The reversal of 985733038080 is 80830337589.

985733038080 is a `hidden beast` number, since 9 + 8 + 573 + 30 + 38 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7524679615 + ... + 7524679745.

Almost surely, 2^985733038080 is an apocalyptic number.

985733038080 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 985733038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043138034080).

985733038080 is an abundant number, since it is smaller than the sum of its proper divisors (3100543030080).

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

985733038080 is an frugal number, since it uses more digits than its factorization.

985733038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 985733038080 in words is "nine hundred eighty-five billion, seven hundred thirty-three million, thirty-eight thousand, eighty".