86338895328 has 288 divisors, whose sum is σ = 296941881600. Its totient is φ = 24667493760.

The previous prime is 86338895303. The next prime is 86338895359. The reversal of 86338895328 is 82359883368.

86338895328 is a `hidden beast` number, since 8 + 63 + 38 + 8 + 9 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2650983 + ... + 2683353.

It is an arithmetic number, because the mean of its divisors is an integer number (1031048200).

Almost surely, 2^86338895328 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 86338895328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148470940800).

86338895328 is an abundant number, since it is smaller than the sum of its proper divisors (210602986272).

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

86338895328 is an equidigital number, since it uses as much as digits as its factorization.

86338895328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32417 (or 32383 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 86338895328 in words is "eighty-six billion, three hundred thirty-eight million, eight hundred ninety-five thousand, three hundred twenty-eight".