5805923558400 has 1584 divisors, whose sum is σ = 25267428066816. Its totient is φ = 1243443363840.

The previous prime is 5805923558377. The next prime is 5805923558411. The reversal of 5805923558400 is 48553295085.

It is a happy number.

5805923558400 is a `hidden beast` number, since 5 + 8 + 0 + 59 + 2 + 3 + 5 + 584 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10062258912 + ... + 10062259488.

Almost surely, 2^{5805923558400} is an apocalyptic number.

5805923558400 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 5805923558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633714033408).

5805923558400 is an abundant number, since it is smaller than the sum of its proper divisors (19461504508416).

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

5805923558400 is a wasteful number, since it uses less digits than its factorization.

5805923558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 5805923558400 in words is "five trillion, eight hundred five billion, nine hundred twenty-three million, five hundred fifty-eight thousand, four hundred".