85663681920 has 448 divisors, whose sum is σ = 310644590400. Its totient is φ = 22576029696.

The previous prime is 85663681913. The next prime is 85663681927. The reversal of 85663681920 is 2918636658.

It is a happy number.

85663681920 is a `hidden beast` number, since 8 + 566 + 3 + 68 + 19 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85663681913) and next prime (85663681927).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85663681927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41522809 + ... + 41524871.

Almost surely, 2^85663681920 is an apocalyptic number.

85663681920 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 85663681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155322295200).

85663681920 is an abundant number, since it is smaller than the sum of its proper divisors (224980908480).

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

85663681920 is an equidigital number, since it uses as much as digits as its factorization.

85663681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 85663681920 in words is "eighty-five billion, six hundred sixty-three million, six hundred eighty-one thousand, nine hundred twenty".