5488005600 has 864 divisors, whose sum is σ = 25445871360. Its totient is φ = 1078272000.

The previous prime is 5488005587. The next prime is 5488005631. The reversal of 5488005600 is 65008845.

It is a happy number.

5488005600 is a `hidden beast` number, since 5 + 48 + 8 + 0 + 0 + 5 + 600 = 666.

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

It is a congruent number.

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, 10533340 + ... + 10533860.

It is an arithmetic number, because the mean of its divisors is an integer number (29451240).

Almost surely, 2^5488005600 is an apocalyptic number.

5488005600 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 5488005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722935680).

5488005600 is an abundant number, since it is smaller than the sum of its proper divisors (19957865760).

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

5488005600 is a wasteful number, since it uses less digits than its factorization.

5488005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

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

The square root of 5488005600 is about 74081.0745062462. The cubic root of 5488005600 is about 1763.8900698150.

The spelling of 5488005600 in words is "five billion, four hundred eighty-eight million, five thousand, six hundred".