829956909771 has 24 divisors (see below), whose sum is σ = 1349998341120. Its totient is φ = 486778244400.

The previous prime is 829956909763. The next prime is 829956909787. The reversal of 829956909771 is 177909659928.

829956909771 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829956909771 - 2³ = 829956909763 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829956909771.

It is not an unprimeable number, because it can be changed into a prime (829956909791) 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, 135213111 + ... + 135219248.

It is an arithmetic number, because the mean of its divisors is an integer number (56249930880).

Almost surely, 2^829956909771 is an apocalyptic number.

829956909771 is a deficient number, since it is larger than the sum of its proper divisors (520041431349).

829956909771 is a wasteful number, since it uses less digits than its factorization.

829956909771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270432407 (or 270432404 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 72.

The spelling of 829956909771 in words is "eight hundred twenty-nine billion, nine hundred fifty-six million, nine hundred nine thousand, seven hundred seventy-one".