829725990912 has 1260 divisors, whose sum is σ = 3143028614616. Its totient is φ = 217379635200.

The previous prime is 829725990883. The next prime is 829725990941. The reversal of 829725990912 is 219099527928.

829725990912 is a `hidden beast` number, since 8 + 29 + 7 + 2 + 599 + 0 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (829725990883) and next prime (829725990941).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 829725990912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5494874037 + ... + 5494874187.

Almost surely, 2^829725990912 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 829725990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571514307308).

829725990912 is an abundant number, since it is smaller than the sum of its proper divisors (2313302623704).

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

829725990912 is a wasteful number, since it uses less digits than its factorization.

829725990912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 829725990912 in words is "eight hundred twenty-nine billion, seven hundred twenty-five million, nine hundred ninety thousand, nine hundred twelve".