985072181760 has 400 divisors, whose sum is σ = 3623602746456. Its totient is φ = 255584305152.

The previous prime is 985072181747. The next prime is 985072181771. The reversal of 985072181760 is 67181270589.

It can be written as a sum of positive squares in 4 ways, for example, as 984095744256 + 976437504 = 992016^2 + 31248^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 985072181697 and 985072181706.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7608124 + ... + 7736516.

Almost surely, 2^985072181760 is an apocalyptic number.

985072181760 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 985072181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811801373228).

985072181760 is an abundant number, since it is smaller than the sum of its proper divisors (2638530564696).

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

985072181760 is a wasteful number, since it uses less digits than its factorization.

985072181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128465 (or 128440 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 985072181760 in words is "nine hundred eighty-five billion, seventy-two million, one hundred eighty-one thousand, seven hundred sixty".