85633283520 has 336 divisors, whose sum is σ = 312402272832. Its totient is φ = 21483601920.

The previous prime is 85633283471. The next prime is 85633283531. The reversal of 85633283520 is 2538233658.

85633283520 is a `hidden beast` number, since 8 + 5 + 633 + 2 + 8 + 3 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4030044 + ... + 4051236.

Almost surely, 2^85633283520 is an apocalyptic number.

85633283520 is a gapful number since it is divisible by the number (80) 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 85633283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156201136416).

85633283520 is an abundant number, since it is smaller than the sum of its proper divisors (226768989312).

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

85633283520 is a wasteful number, since it uses less digits than its factorization.

85633283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21300 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 85633283520 in words is "eighty-five billion, six hundred thirty-three million, two hundred eighty-three thousand, five hundred twenty".