5335709127138 has 192 divisors, whose sum is σ = 12692359680000. Its totient is φ = 1610163878400.

The previous prime is 5335709127113. The next prime is 5335709127143. The reversal of 5335709127138 is 8317219075335.

It is a happy number.

5335709127138 is a `hidden beast` number, since 5 + 33 + 570 + 9 + 1 + 2 + 7 + 1 + 38 = 666.

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, 1616390088 + ... + 1616393388.

It is an arithmetic number, because the mean of its divisors is an integer number (66106040000).

Almost surely, 2^{5335709127138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5335709127138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346179840000).

5335709127138 is an abundant number, since it is smaller than the sum of its proper divisors (7356650552862).

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

5335709127138 is a wasteful number, since it uses less digits than its factorization.

5335709127138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 5335709127138 in words is "five trillion, three hundred thirty-five billion, seven hundred nine million, one hundred twenty-seven thousand, one hundred thirty-eight".