829093520052 has 144 divisors (see below), whose sum is σ = 2457354961152. Its totient is φ = 230750415360.

The previous prime is 829093520051. The next prime is 829093520147. The reversal of 829093520052 is 250025390928.

829093520052 is a `hidden beast` number, since 8 + 290 + 9 + 352 + 0 + 0 + 5 + 2 = 666.

It is a super-2 number, since 2×829093520052² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829093520051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6685353 + ... + 6808239.

It is an arithmetic number, because the mean of its divisors is an integer number (17064965008).

Almost surely, 2^829093520052 is an apocalyptic number.

829093520052 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829093520052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228677480576).

829093520052 is an abundant number, since it is smaller than the sum of its proper divisors (1628261441100).

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

829093520052 is a wasteful number, since it uses less digits than its factorization.

829093520052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123598 (or 123593 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 829093520052 in words is "eight hundred twenty-nine billion, ninety-three million, five hundred twenty thousand, fifty-two".