829685212920 has 192 divisors, whose sum is σ = 2799821082240. Its totient is φ = 220974480000.

The previous prime is 829685212919. The next prime is 829685212963. The reversal of 829685212920 is 29212586928.

It is a happy number.

829685212920 is a `hidden beast` number, since 8 + 2 + 96 + 8 + 521 + 2 + 9 + 20 = 666.

829685212920 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 a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7830295 + ... + 7935545.

It is an arithmetic number, because the mean of its divisors is an integer number (14582401470).

Almost surely, 2^829685212920 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 829685212920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399910541120).

829685212920 is an abundant number, since it is smaller than the sum of its proper divisors (1970135869320).

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

829685212920 is a wasteful number, since it uses less digits than its factorization.

829685212920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106088 (or 106072 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 829685212920 in words is "eight hundred twenty-nine billion, six hundred eighty-five million, two hundred twelve thousand, nine hundred twenty".