84438805721600 has 360 divisors, whose sum is σ = 232061324247060. Its totient is φ = 30423262003200.

The previous prime is 84438805721581. The next prime is 84438805721737. The reversal of 84438805721600 is 612750883448.

84438805721600 is digitally balanced in base 5, 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 67876770877696 + 16562034843904 = 8238736^2 + 4069648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168569114 + ... + 169069286.

Almost surely, 2^{84438805721600} is an apocalyptic number.

84438805721600 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 84438805721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116030662123530).

84438805721600 is an abundant number, since it is smaller than the sum of its proper divisors (147622518525460).

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

84438805721600 is a wasteful number, since it uses less digits than its factorization.

84438805721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500332 (or 500300 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 84438805721600 in words is "eighty-four trillion, four hundred thirty-eight billion, eight hundred five million, seven hundred twenty-one thousand, six hundred".