5358305440800 has 864 divisors, whose sum is σ = 20764052015616. Its totient is φ = 1292184576000.

The previous prime is 5358305440783. The next prime is 5358305440811. The reversal of 5358305440800 is 80445038535.

5358305440800 is a `hidden beast` number, since 53 + 5 + 83 + 0 + 5 + 440 + 80 + 0 = 666.

It is a super-2 number, since 2×5358305440800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1547299869 + ... + 1547303331.

Almost surely, 2^{5358305440800} is an apocalyptic number.

5358305440800 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 5358305440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382026007808).

5358305440800 is an abundant number, since it is smaller than the sum of its proper divisors (15405746574816).

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

5358305440800 is a wasteful number, since it uses less digits than its factorization.

5358305440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5358305440800 in words is "five trillion, three hundred fifty-eight billion, three hundred five million, four hundred forty thousand, eight hundred".