5519829000 has 512 divisors, whose sum is σ = 20798668800. Its totient is φ = 1192320000.

The previous prime is 5519828989. The next prime is 5519829017. The reversal of 5519829000 is 9289155.

It is a self number, because there is not a number n which added to its sum of digits gives 5519829000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39710931 + ... + 39711069.

It is an arithmetic number, because the mean of its divisors is an integer number (40622400).

Almost surely, 2^5519829000 is an apocalyptic number.

5519829000 is a gapful number since it is divisible by the number (50) 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 5519829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399334400).

5519829000 is an abundant number, since it is smaller than the sum of its proper divisors (15278839800).

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

5519829000 is a wasteful number, since it uses less digits than its factorization.

5519829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 5519829000 is about 74295.5516837987. The cubic root of 5519829000 is about 1767.2929348833.

The spelling of 5519829000 in words is "five billion, five hundred nineteen million, eight hundred twenty-nine thousand".