86204256320 has 224 divisors, whose sum is σ = 252942547200. Its totient is φ = 27250089984.

The previous prime is 86204256293. The next prime is 86204256331. The reversal of 86204256320 is 2365240268.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42485066 + ... + 42487094.

It is an arithmetic number, because the mean of its divisors is an integer number (1129207800).

Almost surely, 2^86204256320 is an apocalyptic number.

86204256320 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 86204256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126471273600).

86204256320 is an abundant number, since it is smaller than the sum of its proper divisors (166738290880).

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

86204256320 is a wasteful number, since it uses less digits than its factorization.

86204256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 86204256320 its reverse (2365240268), we get a palindrome (88569496588).

The spelling of 86204256320 in words is "eighty-six billion, two hundred four million, two hundred fifty-six thousand, three hundred twenty".