83975958528 has 624 divisors, whose sum is σ = 294026757120. Its totient is φ = 21056716800.

The previous prime is 83975958523. The next prime is 83975958553. The reversal of 83975958528 is 82585957938.

It is a super-2 number, since 2×83975958528² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83975958523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205319988 + ... + 205320396.

Almost surely, 2^83975958528 is an apocalyptic number.

83975958528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83975958528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147013378560).

83975958528 is an abundant number, since it is smaller than the sum of its proper divisors (210050798592).

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

83975958528 is a wasteful number, since it uses less digits than its factorization.

83975958528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 463 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 69.

The spelling of 83975958528 in words is "eighty-three billion, nine hundred seventy-five million, nine hundred fifty-eight thousand, five hundred twenty-eight".