85858962288 has 320 divisors, whose sum is σ = 264486643200. Its totient is φ = 23708160000.

The previous prime is 85858962251. The next prime is 85858962311. The reversal of 85858962288 is 88226985858.

It is a Cunningham number, because it is equal to 293017²-1.

It is a super-2 number, since 2×85858962288² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122480338 + ... + 122481038.

It is an arithmetic number, because the mean of its divisors is an integer number (826520760).

Almost surely, 2^85858962288 is an apocalyptic number.

85858962288 is a gapful number since it is divisible by the number (88) 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 85858962288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132243321600).

85858962288 is an abundant number, since it is smaller than the sum of its proper divisors (178627680912).

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

85858962288 is a wasteful number, since it uses less digits than its factorization.

85858962288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 69.

The spelling of 85858962288 in words is "eighty-five billion, eight hundred fifty-eight million, nine hundred sixty-two thousand, two hundred eighty-eight".