985128702840 has 192 divisors, whose sum is σ = 3233150069760. Its totient is φ = 260125931520.

The previous prime is 985128702829. The next prime is 985128702871. The reversal of 985128702840 is 48207821589.

985128702840 is a `hidden beast` number, since 9 + 8 + 512 + 87 + 0 + 2 + 8 + 40 = 666.

It is a super-2 number, since 2×985128702840² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23799442 + ... + 23840798.

It is an arithmetic number, because the mean of its divisors is an integer number (16839323280).

Almost surely, 2^985128702840 is an apocalyptic number.

985128702840 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 985128702840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616575034880).

985128702840 is an abundant number, since it is smaller than the sum of its proper divisors (2248021366920).

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

985128702840 is a wasteful number, since it uses less digits than its factorization.

985128702840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42022 (or 42015 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 985128702840 in words is "nine hundred eighty-five billion, one hundred twenty-eight million, seven hundred two thousand, eight hundred forty".