5531248800 has 648 divisors, whose sum is σ = 24528617568. Its totient is φ = 1148083200.

The previous prime is 5531248781. The next prime is 5531248813. The reversal of 5531248800 is 88421355.

It is a happy number.

5531248800 is a `hidden beast` number, since 5 + 531 + 2 + 48 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6097947 + ... + 6098853.

Almost surely, 2^5531248800 is an apocalyptic number.

5531248800 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 5531248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264308784).

5531248800 is an abundant number, since it is smaller than the sum of its proper divisors (18997368768).

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

5531248800 is a wasteful number, since it uses less digits than its factorization.

5531248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 935 counting only the distinct ones).

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

The square root of 5531248800 is about 74372.3658357054. The cubic root of 5531248800 is about 1768.5108608839.

The spelling of 5531248800 in words is "five billion, five hundred thirty-one million, two hundred forty-eight thousand, eight hundred".