84198878400 has 2016 divisors, whose sum is σ = 389865047040. Its totient is φ = 15441592320.

The previous prime is 84198878353. The next prime is 84198878437. The reversal of 84198878400 is 487889148.

It is a super-2 number, since 2×84198878400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2903409586 + ... + 2903409614.

It is an arithmetic number, because the mean of its divisors is an integer number (193385440).

Almost surely, 2^84198878400 is an apocalyptic number.

84198878400 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 84198878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194932523520).

84198878400 is an abundant number, since it is smaller than the sum of its proper divisors (305666168640).

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

84198878400 is a wasteful number, since it uses less digits than its factorization.

84198878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 84198878400 in words is "eighty-four billion, one hundred ninety-eight million, eight hundred seventy-eight thousand, four hundred".