985763842560 has 720 divisors, whose sum is σ = 4108441451400. Its totient is φ = 217540657152.

The previous prime is 985763842537. The next prime is 985763842631. The reversal of 985763842560 is 65248367589.

It is a happy number.

985763842560 is a `hidden beast` number, since 9 + 8 + 5 + 7 + 63 + 8 + 4 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 738142159104 + 247621683456 = 859152^2 + 497616^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32724786 + ... + 32754894.

Almost surely, 2^985763842560 is an apocalyptic number.

985763842560 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 985763842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054220725700).

985763842560 is an abundant number, since it is smaller than the sum of its proper divisors (3122677608840).

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

985763842560 is a wasteful number, since it uses less digits than its factorization.

985763842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30181 (or 30155 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 985763842560 in words is "nine hundred eighty-five billion, seven hundred sixty-three million, eight hundred forty-two thousand, five hundred sixty".