985170000672 has 486 divisors, whose sum is σ = 3342692192931. Its totient is φ = 274898257920.

The previous prime is 985170000667. The next prime is 985170000679. The reversal of 985170000672 is 276000071589.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 587559042576 + 397610958096 = 766524^2 + 630564^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=701844.

It is a super-3 number, since 3×985170000672³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (985170000679) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2408728404 + ... + 2408728812.

Almost surely, 2^985170000672 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 985170000672

985170000672 is an abundant number, since it is smaller than the sum of its proper divisors (2357522192259).

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

985170000672 is a wasteful number, since it uses less digits than its factorization.

985170000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 985170000672 in words is "nine hundred eighty-five billion, one hundred seventy million, six hundred seventy-two", and thus it is an aban number.