83505055032 has 256 divisors, whose sum is σ = 274077619200. Its totient is φ = 23061749760.

The previous prime is 83505055009. The next prime is 83505055057. The reversal of 83505055032 is 23055050538.

83505055032 is a `hidden beast` number, since 8 + 3 + 50 + 50 + 550 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6299932 + ... + 6313172.

It is an arithmetic number, because the mean of its divisors is an integer number (1070615700).

Almost surely, 2^83505055032 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 83505055032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137038809600).

83505055032 is an abundant number, since it is smaller than the sum of its proper divisors (190572564168).

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

83505055032 is a wasteful number, since it uses less digits than its factorization.

83505055032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13403 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 83505055032 in words is "eighty-three billion, five hundred five million, fifty-five thousand, thirty-two".