86228534548800 has 756 divisors, whose sum is σ = 357572452333980. Its totient is φ = 19650840330240.

The previous prime is 86228534548781. The next prime is 86228534548811. The reversal of 86228534548800 is 884543582268.

It is a happy number.

86228534548800 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 8 + 5 + 3 + 4 + 548 + 80 + 0 = 666.

86228534548800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 968870113344 + 85259664435456 = 984312^2 + 9233616^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 237605886 + ... + 237968514.

Almost surely, 2^{86228534548800} is an apocalyptic number.

86228534548800 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 86228534548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178786226166990).

86228534548800 is an abundant number, since it is smaller than the sum of its proper divisors (271343917785180).

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

86228534548800 is a wasteful number, since it uses less digits than its factorization.

86228534548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363008 (or 362983 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 86228534548800 in words is "eighty-six trillion, two hundred twenty-eight billion, five hundred thirty-four million, five hundred forty-eight thousand, eight hundred".