7138056117888 has 384 divisors, whose sum is σ = 21231158566800. Its totient is φ = 2300879831040.

The previous prime is 7138056117853. The next prime is 7138056117979. The reversal of 7138056117888 is 8887116508317.

7138056117888 is a `hidden beast` number, since 7 + 1 + 3 + 8 + 0 + 5 + 611 + 7 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1209454461504 + 5928601656384 = 1099752^2 + 2434872^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728759408 + ... + 1728763536.

Almost surely, 2^{7138056117888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7138056117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615579283400).

7138056117888 is an abundant number, since it is smaller than the sum of its proper divisors (14093102448912).

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

7138056117888 is a wasteful number, since it uses less digits than its factorization.

7138056117888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 7138056117888 in words is "seven trillion, one hundred thirty-eight billion, fifty-six million, one hundred seventeen thousand, eight hundred eighty-eight".