5801544000 has 560 divisors, whose sum is σ = 24547860480. Its totient is φ = 1325030400.

The previous prime is 5801543983. The next prime is 5801544031. The reversal of 5801544000 is 4451085.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4535361 + ... + 4536639.

Almost surely, 2^5801544000 is an apocalyptic number.

5801544000 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 5801544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273930240).

5801544000 is an abundant number, since it is smaller than the sum of its proper divisors (18746316480).

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

5801544000 is a wasteful number, since it uses less digits than its factorization.

5801544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5801544000 is about 76167.8672407203. The cubic root of 5801544000 is about 1796.8611964661.

Adding to 5801544000 its reverse (4451085), we get a palindrome (5805995085).

The spelling of 5801544000 in words is "five billion, eight hundred one million, five hundred forty-four thousand".