5113655705088 has 1280 divisors, whose sum is σ = 19191152640000. Its totient is φ = 1338765926400.

The previous prime is 5113655705051. The next prime is 5113655705173. The reversal of 5113655705088 is 8805075563115.

5113655705088 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 6 + 557 + 0 + 5 + 0 + 88 = 666.

It is a super-2 number, since 2×5113655705088² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2792820333 + ... + 2792822163.

It is an arithmetic number, because the mean of its divisors is an integer number (14993088000).

Almost surely, 2^{5113655705088} 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 5113655705088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595576320000).

5113655705088 is an abundant number, since it is smaller than the sum of its proper divisors (14077496934912).

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

5113655705088 is a wasteful number, since it uses less digits than its factorization.

5113655705088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 5113655705088 in words is "five trillion, one hundred thirteen billion, six hundred fifty-five million, seven hundred five thousand, eighty-eight".