5248378800 has 600 divisors, whose sum is σ = 21890595936. Its totient is φ = 1179463680.

The previous prime is 5248378787. The next prime is 5248378841. The reversal of 5248378800 is 88738425.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16556242 + ... + 16556558.

Almost surely, 2^5248378800 is an apocalyptic number.

5248378800 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 5248378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945297968).

5248378800 is an abundant number, since it is smaller than the sum of its proper divisors (16642217136).

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

5248378800 is a wasteful number, since it uses less digits than its factorization.

5248378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5248378800 is about 72445.6955243029. The cubic root of 5248378800 is about 1737.8344045207.

The spelling of 5248378800 in words is "five billion, two hundred forty-eight million, three hundred seventy-eight thousand, eight hundred".