86080204800 has 936 divisors, whose sum is σ = 334639438848. Its totient is φ = 21086208000.

The previous prime is 86080204789. The next prime is 86080204841. The reversal of 86080204800 is 840208068.

86080204800 is a `hidden beast` number, since 8 + 608 + 0 + 2 + 0 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 657100735 + ... + 657100865.

It is an arithmetic number, because the mean of its divisors is an integer number (357520768).

Almost surely, 2^86080204800 is an apocalyptic number.

86080204800 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 86080204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167319719424).

86080204800 is an abundant number, since it is smaller than the sum of its proper divisors (248559234048).

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

86080204800 is a wasteful number, since it uses less digits than its factorization.

86080204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 86080204800 in words is "eighty-six billion, eighty million, two hundred four thousand, eight hundred".