84011199043200 has 1536 divisors, whose sum is σ = 338490197740800. Its totient is φ = 18039767040000.

The previous prime is 84011199043193. The next prime is 84011199043201. The reversal of 84011199043200 is 234099111048.

It is not an unprimeable number, because it can be changed into a prime (84011199043201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3433360566 + ... + 3433385034.

Almost surely, 2^{84011199043200} is an apocalyptic number.

84011199043200 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 84011199043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169245098870400).

84011199043200 is an abundant number, since it is smaller than the sum of its proper divisors (254478998697600).

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

84011199043200 is a wasteful number, since it uses less digits than its factorization.

84011199043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24622 (or 24605 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 84011199043200 in words is "eighty-four trillion, eleven billion, one hundred ninety-nine million, forty-three thousand, two hundred".