84446995200 has 216 divisors, whose sum is σ = 279200286288. Its totient is φ = 22478192640.

The previous prime is 84446995141. The next prime is 84446995211. The reversal of 84446995200 is 259964448.

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 23 ways as a sum of consecutive naturals, for example, 11381892 + ... + 11389308.

It is an arithmetic number, because the mean of its divisors is an integer number (1292593918).

Almost surely, 2^84446995200 is an apocalyptic number.

84446995200 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 84446995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139600143144).

84446995200 is an abundant number, since it is smaller than the sum of its proper divisors (194753291088).

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

84446995200 is a wasteful number, since it uses less digits than its factorization.

84446995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 84446995200 in words is "eighty-four billion, four hundred forty-six million, nine hundred ninety-five thousand, two hundred".