5395024800 has 432 divisors, whose sum is σ = 21979968192. Its totient is φ = 1230643200.

The previous prime is 5395024771. The next prime is 5395024807. The reversal of 5395024800 is 84205935.

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

It is not an unprimeable number, because it can be changed into a prime (5395024807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1344397 + ... + 1348403.

It is an arithmetic number, because the mean of its divisors is an integer number (50879556).

Almost surely, 2^5395024800 is an apocalyptic number.

5395024800 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 5395024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989984096).

5395024800 is an abundant number, since it is smaller than the sum of its proper divisors (16584943392).

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

5395024800 is a wasteful number, since it uses less digits than its factorization.

5395024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5395024800 is about 73450.8325344240. The cubic root of 5395024800 is about 1753.8716783699.

The spelling of 5395024800 in words is "five billion, three hundred ninety-five million, twenty-four thousand, eight hundred".