5388864000 has 640 divisors, whose sum is σ = 20590682112. Its totient is φ = 1238630400.

The previous prime is 5388863981. The next prime is 5388864011. The reversal of 5388864000 is 4688835.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42431937 + ... + 42432063.

Almost surely, 2^5388864000 is an apocalyptic number.

5388864000 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 5388864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295341056).

5388864000 is an abundant number, since it is smaller than the sum of its proper divisors (15201818112).

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

5388864000 is a wasteful number, since it uses less digits than its factorization.

5388864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 5388864000 is about 73408.8822963543. The cubic root of 5388864000 is about 1753.2038180952.

The spelling of 5388864000 in words is "five billion, three hundred eighty-eight million, eight hundred sixty-four thousand".