5881528800 has 432 divisors, whose sum is σ = 24748884720. Its totient is φ = 1344107520.

The previous prime is 5881528787. The next prime is 5881528853. The reversal of 5881528800 is 88251885.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1055622 + ... + 1061178.

It is an arithmetic number, because the mean of its divisors is an integer number (57289085).

Almost surely, 2^5881528800 is an apocalyptic number.

5881528800 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 5881528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374442360).

5881528800 is an abundant number, since it is smaller than the sum of its proper divisors (18867355920).

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

5881528800 is a wasteful number, since it uses less digits than its factorization.

5881528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The square root of 5881528800 is about 76691.1259533983. The cubic root of 5881528800 is about 1805.0811984047.

The spelling of 5881528800 in words is "five billion, eight hundred eighty-one million, five hundred twenty-eight thousand, eight hundred".