86359680000 has 1320 divisors, whose sum is σ = 359133540480. Its totient is φ = 19783680000.

The previous prime is 86359679983. The next prime is 86359680007. The reversal of 86359680000 is 8695368.

86359680000 is a `hidden beast` number, since 8 + 635 + 9 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is not an unprimeable number, because it can be changed into a prime (86359680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1837439977 + ... + 1837440023.

It is an arithmetic number, because the mean of its divisors is an integer number (272070864).

Almost surely, 2^86359680000 is an apocalyptic number.

86359680000 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 86359680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179566770240).

86359680000 is an abundant number, since it is smaller than the sum of its proper divisors (272773860480).

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

86359680000 is a wasteful number, since it uses less digits than its factorization.

86359680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 86359680000 in words is "eighty-six billion, three hundred fifty-nine million, six hundred eighty thousand".