83085350554624 has 88 divisors (see below), whose sum is σ = 181203874866000. Its totient is φ = 37762887598080.

The previous prime is 83085350554579. The next prime is 83085350554649. The reversal of 83085350554624 is 42645505358038.

It is a tau number, because it is divible by the number of its divisors (88).

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 7 ways as a sum of consecutive naturals, for example, 136091202 + ... + 136700350.

Almost surely, 2^{83085350554624} 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 83085350554624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90601937433000).

83085350554624 is an abundant number, since it is smaller than the sum of its proper divisors (98118524311376).

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

83085350554624 is a wasteful number, since it uses less digits than its factorization.

83085350554624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621289 (or 621271 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 58.

The spelling of 83085350554624 in words is "eighty-three trillion, eighty-five billion, three hundred fifty million, five hundred fifty-four thousand, six hundred twenty-four".