84581312800 has 144 divisors (see below), whose sum is σ = 211168484352. Its totient is φ = 33067008000.

The previous prime is 84581312771. The next prime is 84581312801. The reversal of 84581312800 is 821318548.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (84581312801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43351825 + ... + 43353775.

It is an arithmetic number, because the mean of its divisors is an integer number (1466447808).

Almost surely, 2^84581312800 is an apocalyptic number.

84581312800 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 84581312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105584242176).

84581312800 is an abundant number, since it is smaller than the sum of its proper divisors (126587171552).

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

84581312800 is a wasteful number, since it uses less digits than its factorization.

84581312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 84581312800 in words is "eighty-four billion, five hundred eighty-one million, three hundred twelve thousand, eight hundred".