5930200416 has 96 divisors (see below), whose sum is σ = 17837826048. Its totient is φ = 1689845760.

The previous prime is 5930200387. The next prime is 5930200453. The reversal of 5930200416 is 6140020395.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245856 + ... + 268896.

It is an arithmetic number, because the mean of its divisors is an integer number (185810688).

Almost surely, 2^5930200416 is an apocalyptic number.

5930200416 is a gapful number since it is divisible by the number (56) 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 5930200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918913024).

5930200416 is an abundant number, since it is smaller than the sum of its proper divisors (11907625632).

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

5930200416 is a wasteful number, since it uses less digits than its factorization.

5930200416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23444 (or 23436 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5930200416 is about 77007.7945145814. The cubic root of 5930200416 is about 1810.0467429907.

The spelling of 5930200416 in words is "five billion, nine hundred thirty million, two hundred thousand, four hundred sixteen".