5418279052800 has 960 divisors, whose sum is σ = 18981792301824. Its totient is φ = 1360635494400.

The previous prime is 5418279052777. The next prime is 5418279052811. The reversal of 5418279052800 is 82509728145.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5418279052800² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 8003366062 + ... + 8003366738.

Almost surely, 2^{5418279052800} is an apocalyptic number.

5418279052800 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 5418279052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9490896150912).

5418279052800 is an abundant number, since it is smaller than the sum of its proper divisors (13563513249024).

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

5418279052800 is a wasteful number, since it uses less digits than its factorization.

5418279052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 5418279052800 in words is "five trillion, four hundred eighteen billion, two hundred seventy-nine million, fifty-two thousand, eight hundred".