84083559375360 has 640 divisors, whose sum is σ = 287367293030400. Its totient is φ = 20911611248640.

The previous prime is 84083559375359. The next prime is 84083559375401. The reversal of 84083559375360 is 6357395538048.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 84083559375291 and 84083559375300.

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 63 ways as a sum of consecutive naturals, for example, 7345461157 + ... + 7345472603.

It is an arithmetic number, because the mean of its divisors is an integer number (449011395360).

Almost surely, 2^{84083559375360} is an apocalyptic number.

84083559375360 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 84083559375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143683646515200).

84083559375360 is an abundant number, since it is smaller than the sum of its proper divisors (203283733655040).

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

84083559375360 is a wasteful number, since it uses less digits than its factorization.

84083559375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 66.

The spelling of 84083559375360 in words is "eighty-four trillion, eighty-three billion, five hundred fifty-nine million, three hundred seventy-five thousand, three hundred sixty".