5378524800 has 576 divisors, whose sum is σ = 20346331680. Its totient is φ = 1238016000.

The previous prime is 5378524727. The next prime is 5378524843. The reversal of 5378524800 is 84258735.

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 71 ways as a sum of consecutive naturals, for example, 101481574 + ... + 101481626.

Almost surely, 2^5378524800 is an apocalyptic number.

5378524800 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 5378524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173165840).

5378524800 is an abundant number, since it is smaller than the sum of its proper divisors (14967806880).

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

5378524800 is a wasteful number, since it uses less digits than its factorization.

5378524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5378524800 is about 73338.4264898014. The cubic root of 5378524800 is about 1752.0818543521.

The spelling of 5378524800 in words is "five billion, three hundred seventy-eight million, five hundred twenty-four thousand, eight hundred".