5832814050 has 144 divisors (see below), whose sum is σ = 18573102912. Its totient is φ = 1333195200.

The previous prime is 5832813997. The next prime is 5832814061. The reversal of 5832814050 is 504182385.

It is a happy number.

5832814050 is a `hidden beast` number, since 583 + 28 + 1 + 4 + 0 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5832813996 and 5832814014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50760 + ... + 119340.

Almost surely, 2^5832814050 is an apocalyptic number.

5832814050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5832814050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286551456).

5832814050 is an abundant number, since it is smaller than the sum of its proper divisors (12740288862).

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

5832814050 is a wasteful number, since it uses less digits than its factorization.

5832814050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68615 (or 68598 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5832814050 is about 76372.8619995349. The cubic root of 5832814050 is about 1800.0837461036.

The spelling of 5832814050 in words is "five billion, eight hundred thirty-two million, eight hundred fourteen thousand, fifty".