86086145880 has 288 divisors, whose sum is σ = 328820113440. Its totient is φ = 19473592320.

The previous prime is 86086145879. The next prime is 86086145891. The reversal of 86086145880 is 8854168068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1685925 + ... + 1736235.

It is an arithmetic number, because the mean of its divisors is an integer number (1141736505).

Almost surely, 2^86086145880 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 86086145880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164410056720).

86086145880 is an abundant number, since it is smaller than the sum of its proper divisors (242733967560).

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

86086145880 is a wasteful number, since it uses less digits than its factorization.

86086145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50439 (or 50425 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 86086145880 in words is "eighty-six billion, eighty-six million, one hundred forty-five thousand, eight hundred eighty".