83826925056 has 640 divisors, whose sum is σ = 301694976000. Its totient is φ = 22448627712.

The previous prime is 83826925051. The next prime is 83826925057. The reversal of 83826925056 is 65052962838.

83826925056 is a `hidden beast` number, since 8 + 382 + 6 + 9 + 250 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83826924993 and 83826925011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83826925051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233501005 + ... + 233501363.

It is an arithmetic number, because the mean of its divisors is an integer number (471398400).

Almost surely, 2^83826925056 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 83826925056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847488000).

83826925056 is an abundant number, since it is smaller than the sum of its proper divisors (217868050944).

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

83826925056 is a wasteful number, since it uses less digits than its factorization.

83826925056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 517 counting only the distinct ones).

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

The spelling of 83826925056 in words is "eighty-three billion, eight hundred twenty-six million, nine hundred twenty-five thousand, fifty-six".