5806836400 has 120 divisors (see below), whose sum is σ = 14221031760. Its totient is φ = 2278087680.

The previous prime is 5806836397. The next prime is 5806836443. The reversal of 5806836400 is 46386085.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10424922 + ... + 10425478.

It is an arithmetic number, because the mean of its divisors is an integer number (118508598).

Almost surely, 2^5806836400 is an apocalyptic number.

5806836400 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 5806836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110515880).

5806836400 is an abundant number, since it is smaller than the sum of its proper divisors (8414195360).

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

5806836400 is a wasteful number, since it uses less digits than its factorization.

5806836400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 5806836400 is about 76202.6010054775. The cubic root of 5806836400 is about 1797.4074199053.

The spelling of 5806836400 in words is "five billion, eight hundred six million, eight hundred thirty-six thousand, four hundred".