5362240800 has 576 divisors, whose sum is σ = 21328634880. Its totient is φ = 1142968320.

The previous prime is 5362240733. The next prime is 5362240823. The reversal of 5362240800 is 80422635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34154322 + ... + 34154478.

It is an arithmetic number, because the mean of its divisors is an integer number (37028880).

Almost surely, 2^5362240800 is an apocalyptic number.

5362240800 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 5362240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664317440).

5362240800 is an abundant number, since it is smaller than the sum of its proper divisors (15966394080).

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

5362240800 is a wasteful number, since it uses less digits than its factorization.

5362240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5362240800 is about 73227.3227695783. The cubic root of 5362240800 is about 1750.3118682281.

The spelling of 5362240800 in words is "five billion, three hundred sixty-two million, two hundred forty thousand, eight hundred".