83580610050112 has 224 divisors, whose sum is σ = 207680429952000. Its totient is φ = 32541105881088.

The previous prime is 83580610050109. The next prime is 83580610050121. The reversal of 83580610050112 is 21105001608538.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776724889 + ... + 776832487.

Almost surely, 2^{83580610050112} 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 83580610050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103840214976000).

83580610050112 is an abundant number, since it is smaller than the sum of its proper divisors (124099819901888).

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

83580610050112 is a wasteful number, since it uses less digits than its factorization.

83580610050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111181 (or 111171 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 83580610050112 in words is "eighty-three trillion, five hundred eighty billion, six hundred ten million, fifty thousand, one hundred twelve".