84496043139200 has 768 divisors, whose sum is σ = 267456989871360. Its totient is φ = 25606737100800.

The previous prime is 84496043139197. The next prime is 84496043139241. The reversal of 84496043139200 is 293134069448.

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 95 ways as a sum of consecutive naturals, for example, 19482599432 + ... + 19482603768.

It is an arithmetic number, because the mean of its divisors is an integer number (348251288895).

Almost surely, 2^{84496043139200} is an apocalyptic number.

84496043139200 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 84496043139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133728494935680).

84496043139200 is an abundant number, since it is smaller than the sum of its proper divisors (182960946732160).

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

84496043139200 is a wasteful number, since it uses less digits than its factorization.

84496043139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 53.

The spelling of 84496043139200 in words is "eighty-four trillion, four hundred ninety-six billion, forty-three million, one hundred thirty-nine thousand, two hundred".