84375391200 has 288 divisors, whose sum is σ = 281856960000. Its totient is φ = 21912145920.

The previous prime is 84375391181. The next prime is 84375391229. The reversal of 84375391200 is 219357348.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 42207801 + ... + 42209799.

It is an arithmetic number, because the mean of its divisors is an integer number (978670000).

Almost surely, 2^84375391200 is an apocalyptic number.

84375391200 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 84375391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140928480000).

84375391200 is an abundant number, since it is smaller than the sum of its proper divisors (197481568800).

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

84375391200 is a wasteful number, since it uses less digits than its factorization.

84375391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 84375391200 in words is "eighty-four billion, three hundred seventy-five million, three hundred ninety-one thousand, two hundred".