83503895328 has 480 divisors, whose sum is σ = 288753873408. Its totient is φ = 23178700800.

The previous prime is 83503895291. The next prime is 83503895339. The reversal of 83503895328 is 82359830538.

83503895328 is a `hidden beast` number, since 8 + 3 + 503 + 89 + 53 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154350738 + ... + 154351278.

Almost surely, 2^83503895328 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 83503895328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144376936704).

83503895328 is an abundant number, since it is smaller than the sum of its proper divisors (205249978080).

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

83503895328 is a wasteful number, since it uses less digits than its factorization.

83503895328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 83503895328 in words is "eighty-three billion, five hundred three million, eight hundred ninety-five thousand, three hundred twenty-eight".