86027614848 has 384 divisors, whose sum is σ = 293753341440. Its totient is φ = 23661987840.

The previous prime is 86027614847. The next prime is 86027614889. The reversal of 86027614848 is 84841672068.

86027614848 is a `hidden beast` number, since 86 + 0 + 27 + 61 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 86027614794 and 86027614803.

It is not an unprimeable number, because it can be changed into a prime (86027614847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1410288738 + ... + 1410288798.

It is an arithmetic number, because the mean of its divisors is an integer number (764982660).

Almost surely, 2^86027614848 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 86027614848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146876670720).

86027614848 is an abundant number, since it is smaller than the sum of its proper divisors (207725726592).

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

86027614848 is an frugal number, since it uses more digits than its factorization.

86027614848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 86027614848 in words is "eighty-six billion, twenty-seven million, six hundred fourteen thousand, eight hundred forty-eight".