85835583235584 has 3200 divisors, whose sum is σ = 342098344304640. Its totient is φ = 20811114086400.

The previous prime is 85835583235537. The next prime is 85835583235637. The reversal of 85835583235584 is 48553238553858.

85835583235584 is a `hidden beast` number, since 8 + 5 + 8 + 3 + 5 + 5 + 8 + 3 + 2 + 35 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 316736469369 + ... + 316736469639.

Almost surely, 2^{85835583235584} is an apocalyptic number.

85835583235584 is a gapful number since it is divisible by the number (84) 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 85835583235584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171049172152320).

85835583235584 is an abundant number, since it is smaller than the sum of its proper divisors (256262761069056).

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

85835583235584 is a wasteful number, since it uses less digits than its factorization.

85835583235584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 449 counting only the distinct ones).

The product of its digits is 2764800000, while the sum is 72.

The spelling of 85835583235584 in words is "eighty-five trillion, eight hundred thirty-five billion, five hundred eighty-three million, two hundred thirty-five thousand, five hundred eighty-four".