85588405920 has 768 divisors, whose sum is σ = 331829084160. Its totient is φ = 20528640000.

The previous prime is 85588405919. The next prime is 85588405927. The reversal of 85588405920 is 2950488558.

It is a happy number.

85588405920 is a `hidden beast` number, since 8 + 5 + 5 + 8 + 8 + 40 + 592 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85588405927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113965545 + ... + 113966295.

It is an arithmetic number, because the mean of its divisors is an integer number (432069120).

Almost surely, 2^85588405920 is an apocalyptic number.

85588405920 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 85588405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165914542080).

85588405920 is an abundant number, since it is smaller than the sum of its proper divisors (246240678240).

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

85588405920 is a wasteful number, since it uses less digits than its factorization.

85588405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 85588405920 in words is "eighty-five billion, five hundred eighty-eight million, four hundred five thousand, nine hundred twenty".