86836216320 has 480 divisors, whose sum is σ = 358822569600. Its totient is φ = 19847503872.

The previous prime is 86836216303. The next prime is 86836216351. The reversal of 86836216320 is 2361263868.

It is a happy number.

86836216320 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 6 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 3374061 + ... + 3399699.

It is an arithmetic number, because the mean of its divisors is an integer number (747547020).

Almost surely, 2^86836216320 is an apocalyptic number.

86836216320 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 86836216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179411284800).

86836216320 is an abundant number, since it is smaller than the sum of its proper divisors (271986353280).

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

86836216320 is a wasteful number, since it uses less digits than its factorization.

86836216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25685 (or 25656 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 86836216320 in words is "eighty-six billion, eight hundred thirty-six million, two hundred sixteen thousand, three hundred twenty".