5344138060800 has 3168 divisors, whose sum is σ = 24237852963840. Its totient is φ = 1008048537600.

The previous prime is 5344138060717. The next prime is 5344138060871. The reversal of 5344138060800 is 80608314435.

It is a super-2 number, since 2×5344138060800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 90578611171 + ... + 90578611229.

Almost surely, 2^{5344138060800} is an apocalyptic number.

5344138060800 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 5344138060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118926481920).

5344138060800 is an abundant number, since it is smaller than the sum of its proper divisors (18893714903040).

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

5344138060800 is a wasteful number, since it uses less digits than its factorization.

5344138060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 5344138060800 in words is "five trillion, three hundred forty-four billion, one hundred thirty-eight million, sixty thousand, eight hundred".