985645805760 has 1344 divisors, whose sum is σ = 4467685248000. Its totient is φ = 193226342400.

The previous prime is 985645805689. The next prime is 985645805797. The reversal of 985645805760 is 67508546589.

985645805760 is a `hidden beast` number, since 9 + 8 + 5 + 6 + 4 + 58 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1891834300 + ... + 1891834820.

Almost surely, 2^985645805760 is an apocalyptic number.

985645805760 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 985645805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233842624000).

985645805760 is an abundant number, since it is smaller than the sum of its proper divisors (3482039442240).

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

985645805760 is a wasteful number, since it uses less digits than its factorization.

985645805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 985645805760 in words is "nine hundred eighty-five billion, six hundred forty-five million, eight hundred five thousand, seven hundred sixty".