5805124416 has 896 divisors, whose sum is σ = 23213568000. Its totient is φ = 1379524608.

The previous prime is 5805124343. The next prime is 5805124439. The reversal of 5805124416 is 6144215085.

It is a happy number.

5805124416 is a `hidden beast` number, since 580 + 51 + 24 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 86643615 + ... + 86643681.

It is an arithmetic number, because the mean of its divisors is an integer number (25908000).

Almost surely, 2^5805124416 is an apocalyptic number.

5805124416 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 5805124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606784000).

5805124416 is an abundant number, since it is smaller than the sum of its proper divisors (17408443584).

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

5805124416 is a wasteful number, since it uses less digits than its factorization.

5805124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

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

The square root of 5805124416 is about 76191.3670700297. The cubic root of 5805124416 is about 1797.2307640360.

The spelling of 5805124416 in words is "five billion, eight hundred five million, one hundred twenty-four thousand, four hundred sixteen".