83989441536000 has 4032 divisors, whose sum is σ = 382183529914368. Its totient is φ = 16025518080000.

The previous prime is 83989441535977. The next prime is 83989441536071. The reversal of 83989441536000 is 63514498938.

83989441536000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 287 ways as a sum of consecutive naturals, for example, 439735295905 + ... + 439735296095.

It is an arithmetic number, because the mean of its divisors is an integer number (94787581824).

Almost surely, 2^{83989441536000} is an apocalyptic number.

83989441536000 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 83989441536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191091764957184).

83989441536000 is an abundant number, since it is smaller than the sum of its proper divisors (298194088378368).

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

83989441536000 is a wasteful number, since it uses less digits than its factorization.

83989441536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 83989441536000 in words is "eighty-three trillion, nine hundred eighty-nine billion, four hundred forty-one million, five hundred thirty-six thousand".