83825733024 has 1152 divisors, whose sum is σ = 309765980160. Its totient is φ = 21167308800.

The previous prime is 83825733011. The next prime is 83825733031. The reversal of 83825733024 is 42033752838.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1420775107 + ... + 1420775165.

It is an arithmetic number, because the mean of its divisors is an integer number (268894080).

Almost surely, 2^83825733024 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 83825733024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154882990080).

83825733024 is an abundant number, since it is smaller than the sum of its proper divisors (225940247136).

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

83825733024 is a wasteful number, since it uses less digits than its factorization.

83825733024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 83825733024 in words is "eighty-three billion, eight hundred twenty-five million, seven hundred thirty-three thousand, twenty-four".