5240920924800 has 2304 divisors, whose sum is σ = 22209078528000. Its totient is φ = 1196594380800.

The previous prime is 5240920924787. The next prime is 5240920924801. The reversal of 5240920924800 is 84290290425.

5240920924800 is a `hidden beast` number, since 524 + 0 + 9 + 20 + 9 + 24 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5240920924801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63143625559 + ... + 63143625641.

It is an arithmetic number, because the mean of its divisors is an integer number (9639357000).

Almost surely, 2^{5240920924800} is an apocalyptic number.

5240920924800 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 5240920924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104539264000).

5240920924800 is an abundant number, since it is smaller than the sum of its proper divisors (16968157603200).

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

5240920924800 is a wasteful number, since it uses less digits than its factorization.

5240920924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5240920924800 in words is "five trillion, two hundred forty billion, nine hundred twenty million, nine hundred twenty-four thousand, eight hundred".