5290816838400 has 648 divisors, whose sum is σ = 19986884976240. Its totient is φ = 1384242462720.

The previous prime is 5290816838387. The next prime is 5290816838401. The reversal of 5290816838400 is 48386180925.

5290816838400 is a `hidden beast` number, since 529 + 0 + 81 + 6 + 8 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5290816838401) 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 71 ways as a sum of consecutive naturals, for example, 82393506 + ... + 82457694.

Almost surely, 2^{5290816838400} is an apocalyptic number.

5290816838400 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 5290816838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993442488120).

5290816838400 is an abundant number, since it is smaller than the sum of its proper divisors (14696068137840).

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

5290816838400 is an equidigital number, since it uses as much as digits as its factorization.

5290816838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64283 (or 64252 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

It can be divided in two parts, 5290816 and 838400, that added together give a palindrome (6129216).

The spelling of 5290816838400 in words is "five trillion, two hundred ninety billion, eight hundred sixteen million, eight hundred thirty-eight thousand, four hundred".