5113685941920 has 288 divisors, whose sum is σ = 17933946685200. Its totient is φ = 1325916241920.

The previous prime is 5113685941879. The next prime is 5113685941979. The reversal of 5113685941920 is 291495863115.

5113685941920 is a `hidden beast` number, since 5 + 1 + 1 + 36 + 8 + 594 + 19 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3955023148176 + 1158662793744 = 1988724^2 + 1076412^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5113685941920² (a number of 26 digits) contains 22 as substring.

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, 82499740 + ... + 82561700.

Almost surely, 2^{5113685941920} 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 5113685941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966973342600).

5113685941920 is an abundant number, since it is smaller than the sum of its proper divisors (12820260743280).

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

5113685941920 is a wasteful number, since it uses less digits than its factorization.

5113685941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63568 (or 63557 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 5113685941920 in words is "five trillion, one hundred thirteen billion, six hundred eighty-five million, nine hundred forty-one thousand, nine hundred twenty".