985735505664 has 900 divisors, whose sum is σ = 3695152631016. Its totient is φ = 259803500544.

The previous prime is 985735505663. The next prime is 985735505693. The reversal of 985735505664 is 466505537589.

It is a happy number.

985735505664 is a `hidden beast` number, since 9 + 8 + 5 + 73 + 550 + 5 + 6 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985735505663) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 647232007 + ... + 647233529.

Almost surely, 2^985735505664 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 985735505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847576315508).

985735505664 is an abundant number, since it is smaller than the sum of its proper divisors (2709417125352).

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

985735505664 is an equidigital number, since it uses as much as digits as its factorization.

985735505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 985735505664 in words is "nine hundred eighty-five billion, seven hundred thirty-five million, five hundred five thousand, six hundred sixty-four".