5829100680 has 192 divisors, whose sum is σ = 19760837760. Its totient is φ = 1372360704.

The previous prime is 5829100663. The next prime is 5829100681. The reversal of 5829100680 is 860019285.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5829100681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460192 + ... + 472688.

It is an arithmetic number, because the mean of its divisors is an integer number (102921030).

Almost surely, 2^5829100680 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 5829100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880418880).

5829100680 is an abundant number, since it is smaller than the sum of its proper divisors (13931737080).

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

5829100680 is a wasteful number, since it uses less digits than its factorization.

5829100680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12560 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 5829100680 is about 76348.5473339212. The cubic root of 5829100680 is about 1799.7016666061.

The spelling of 5829100680 in words is "five billion, eight hundred twenty-nine million, one hundred thousand, six hundred eighty".