86010028020 has 288 divisors, whose sum is σ = 316131379200. Its totient is φ = 18490021632.

The previous prime is 86010027997. The next prime is 86010028031. The reversal of 86010028020 is 2082001068.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3314737 + ... + 3340583.

It is an arithmetic number, because the mean of its divisors is an integer number (1097678400).

Almost surely, 2^86010028020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86010028020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158065689600).

86010028020 is an abundant number, since it is smaller than the sum of its proper divisors (230121351180).

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

86010028020 is a wasteful number, since it uses less digits than its factorization.

86010028020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26027 (or 26022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 86010028020 its reverse (2082001068), we get a palindrome (88092029088).

The spelling of 86010028020 in words is "eighty-six billion, ten million, twenty-eight thousand, twenty".