84321388800 has 1512 divisors, whose sum is σ = 359027520768. Its totient is φ = 19408896000.

The previous prime is 84321388793. The next prime is 84321388817. The reversal of 84321388800 is 888312348.

84321388800 is a `hidden beast` number, since 8 + 432 + 138 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×84321388800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1590969574 + ... + 1590969626.

It is an arithmetic number, because the mean of its divisors is an integer number (237452064).

Almost surely, 2^84321388800 is an apocalyptic number.

84321388800 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 84321388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179513760384).

84321388800 is an abundant number, since it is smaller than the sum of its proper divisors (274706131968).

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

84321388800 is a wasteful number, since it uses less digits than its factorization.

84321388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 84321388800 in words is "eighty-four billion, three hundred twenty-one million, three hundred eighty-eight thousand, eight hundred".