83058966743040 has 768 divisors, whose sum is σ = 322701200640000. Its totient is φ = 20173679493120.

The previous prime is 83058966743033. The next prime is 83058966743059. The reversal of 83058966743040 is 4034766985038.

83058966743040 is a `hidden beast` number, since 8 + 3 + 0 + 58 + 96 + 67 + 430 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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, 145419936 + ... + 145989984.

It is an arithmetic number, because the mean of its divisors is an integer number (420183855000).

Almost surely, 2^{83058966743040} is an apocalyptic number.

83058966743040 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 83058966743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161350600320000).

83058966743040 is an abundant number, since it is smaller than the sum of its proper divisors (239642233896960).

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

83058966743040 is a wasteful number, since it uses less digits than its factorization.

83058966743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570133 (or 570107 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 83058966743040 in words is "eighty-three trillion, fifty-eight billion, nine hundred sixty-six million, seven hundred forty-three thousand, forty".