83253088576 has 336 divisors, whose sum is σ = 211464509760. Its totient is φ = 32305029120.

The previous prime is 83253088573. The next prime is 83253088601. The reversal of 83253088576 is 67588035238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83253088573) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 129475711 + ... + 129476353.

It is an arithmetic number, because the mean of its divisors is an integer number (629358660).

Almost surely, 2^83253088576 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 83253088576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105732254880).

83253088576 is an abundant number, since it is smaller than the sum of its proper divisors (128211421184).

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

83253088576 is a wasteful number, since it uses less digits than its factorization.

83253088576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 83253088576 in words is "eighty-three billion, two hundred fifty-three million, eighty-eight thousand, five hundred seventy-six".