84524836800120 has 256 divisors, whose sum is σ = 259331892019200. Its totient is φ = 22033496517120.

The previous prime is 84524836800109. The next prime is 84524836800127. The reversal of 84524836800120 is 2100863842548.

It is a Cunningham number, because it is equal to 9193739²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84524836800127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2555843185 + ... + 2555876255.

It is an arithmetic number, because the mean of its divisors is an integer number (1013015203200).

Almost surely, 2^{84524836800120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84524836800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129665946009600).

84524836800120 is an abundant number, since it is smaller than the sum of its proper divisors (174807055219080).

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

84524836800120 is a wasteful number, since it uses less digits than its factorization.

84524836800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35578 (or 35574 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 84524836800120 in words is "eighty-four trillion, five hundred twenty-four billion, eight hundred thirty-six million, eight hundred thousand, one hundred twenty".