829257901056 has 264 divisors, whose sum is σ = 2593624083960. Its totient is φ = 253675044864.

The previous prime is 829257901033. The next prime is 829257901057. The reversal of 829257901056 is 650109752928.

829257901056 is a `hidden beast` number, since 8 + 2 + 9 + 2 + 579 + 0 + 10 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 439282630656 + 389975270400 = 662784^2 + 624480^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 829257900993 and 829257901011.

It is not an unprimeable number, because it can be changed into a prime (829257901057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20706780 + ... + 20746788.

Almost surely, 2^829257901056 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 829257901056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296812041980).

829257901056 is an abundant number, since it is smaller than the sum of its proper divisors (1764366182904).

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

829257901056 is a wasteful number, since it uses less digits than its factorization.

829257901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40221 (or 40200 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 829257901056 in words is "eight hundred twenty-nine billion, two hundred fifty-seven million, nine hundred one thousand, fifty-six".