5363850240 has 704 divisors, whose sum is σ = 22826833920. Its totient is φ = 1167851520.

The previous prime is 5363850227. The next prime is 5363850257. The reversal of 5363850240 is 420583635.

5363850240 = 483² + 484² + ... + 2530².

It is a happy number.

5363850240 is a `hidden beast` number, since 5 + 36 + 385 + 0 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5363850195 and 5363850204.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 22256520 + ... + 22256760.

It is an arithmetic number, because the mean of its divisors is an integer number (32424480).

Almost surely, 2^5363850240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5363850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11413416960).

5363850240 is an abundant number, since it is smaller than the sum of its proper divisors (17462983680).

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

5363850240 is a wasteful number, since it uses less digits than its factorization.

5363850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5363850240 is about 73238.3112858291. The cubic root of 5363850240 is about 1750.4869654339.

The spelling of 5363850240 in words is "five billion, three hundred sixty-three million, eight hundred fifty thousand, two hundred forty".