86344876800 has 2592 divisors, whose sum is σ = 435741555200. Its totient is φ = 16243752960.

The previous prime is 86344876769. The next prime is 86344876801. The reversal of 86344876800 is 867844368.

86344876800 is a `hidden beast` number, since 86 + 3 + 4 + 487 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86344876801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4544467191 + ... + 4544467209.

Almost surely, 2^86344876800 is an apocalyptic number.

86344876800 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 86344876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217870777600).

86344876800 is an abundant number, since it is smaller than the sum of its proper divisors (349396678400).

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

86344876800 is a wasteful number, since it uses less digits than its factorization.

86344876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 86344876800 in words is "eighty-six billion, three hundred forty-four million, eight hundred seventy-six thousand, eight hundred".