86523615360 has 768 divisors, whose sum is σ = 383766888960. Its totient is φ = 17459380224.

The previous prime is 86523615341. The next prime is 86523615401. The reversal of 86523615360 is 6351632568.

86523615360 is a `hidden beast` number, since 8 + 6 + 5 + 23 + 615 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12052092 + ... + 12059268.

It is an arithmetic number, because the mean of its divisors is an integer number (499696470).

Almost surely, 2^86523615360 is an apocalyptic number.

86523615360 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 86523615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191883444480).

86523615360 is an abundant number, since it is smaller than the sum of its proper divisors (297243273600).

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

86523615360 is a wasteful number, since it uses less digits than its factorization.

86523615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 86523615360 in words is "eighty-six billion, five hundred twenty-three million, six hundred fifteen thousand, three hundred sixty".