86304556800 has 1944 divisors, whose sum is σ = 407549644320. Its totient is φ = 17031168000.

The previous prime is 86304556733. The next prime is 86304556837. The reversal of 86304556800 is 865540368.

86304556800 is a `hidden beast` number, since 8 + 630 + 4 + 5 + 5 + 6 + 8 + 0 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1414828770 + ... + 1414828830.

Almost surely, 2^86304556800 is an apocalyptic number.

86304556800 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 86304556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203774822160).

86304556800 is an abundant number, since it is smaller than the sum of its proper divisors (321245087520).

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

86304556800 is a wasteful number, since it uses less digits than its factorization.

86304556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 86304556800 in words is "eighty-six billion, three hundred four million, five hundred fifty-six thousand, eight hundred".