86008060050560 has 128 divisors (see below), whose sum is σ = 210426186700800. Its totient is φ = 33600940036096.

The previous prime is 86008060050551. The next prime is 86008060050599. The reversal of 86008060050560 is 6505006080068.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11423654 + ... + 17392986.

It is an arithmetic number, because the mean of its divisors is an integer number (1643954583600).

Almost surely, 2^{86008060050560} is an apocalyptic number.

86008060050560 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 86008060050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105213093350400).

86008060050560 is an abundant number, since it is smaller than the sum of its proper divisors (124418126650240).

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

86008060050560 is a wasteful number, since it uses less digits than its factorization.

86008060050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969878 (or 5969866 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 86008060050560 in words is "eighty-six trillion, eight billion, sixty million, fifty thousand, five hundred sixty".