86228144060058 has 768 divisors, whose sum is σ = 271252800000000. Its totient is φ = 19453957608960.

The previous prime is 86228144059973. The next prime is 86228144060081. The reversal of 86228144060058 is 85006044182268.

86228144060058 is a `hidden beast` number, since 8 + 6 + 2 + 28 + 1 + 4 + 4 + 0 + 600 + 5 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86228144059986 and 86228144060013.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2499421693 + ... + 2499456191.

It is an arithmetic number, because the mean of its divisors is an integer number (353193750000).

Almost surely, 2^{86228144060058} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86228144060058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135626400000000).

86228144060058 is an abundant number, since it is smaller than the sum of its proper divisors (185024655939942).

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

86228144060058 is a wasteful number, since it uses less digits than its factorization.

86228144060058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34720 (or 34703 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 86228144060058 in words is "eighty-six trillion, two hundred twenty-eight billion, one hundred forty-four million, sixty thousand, fifty-eight".