86528217600 has 960 divisors, whose sum is σ = 351999077760. Its totient is φ = 20901888000.

The previous prime is 86528217563. The next prime is 86528217613. The reversal of 86528217600 is 671282568.

86528217600 is a `hidden beast` number, since 8 + 6 + 5 + 28 + 2 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307929460 + ... + 307929740.

It is an arithmetic number, because the mean of its divisors is an integer number (366665706).

Almost surely, 2^86528217600 is an apocalyptic number.

86528217600 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 86528217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175999538880).

86528217600 is an abundant number, since it is smaller than the sum of its proper divisors (265470860160).

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

86528217600 is an equidigital number, since it uses as much as digits as its factorization.

86528217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 86528217600 in words is "eighty-six billion, five hundred twenty-eight million, two hundred seventeen thousand, six hundred".