86860048320 has 672 divisors, whose sum is σ = 326374963200. Its totient is φ = 21135679488.

The previous prime is 86860048307. The next prime is 86860048369. The reversal of 86860048320 is 2384006868.

It is a happy number.

86860048320 is a `hidden beast` number, since 8 + 6 + 8 + 600 + 4 + 8 + 32 + 0 = 666.

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, 197858661 + ... + 197859099.

Almost surely, 2^86860048320 is an apocalyptic number.

86860048320 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 86860048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163187481600).

86860048320 is an abundant number, since it is smaller than the sum of its proper divisors (239514914880).

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

86860048320 is a wasteful number, since it uses less digits than its factorization.

86860048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86860048320 in words is "eighty-six billion, eight hundred sixty million, forty-eight thousand, three hundred twenty".