5108510695680 has 1296 divisors, whose sum is σ = 21900810335040. Its totient is φ = 1135975809024.

The previous prime is 5108510695667. The next prime is 5108510695711. The reversal of 5108510695680 is 865960158015.

5108510695680 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 5 + 10 + 69 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 563910991 + ... + 563920049.

Almost surely, 2^{5108510695680} 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 5108510695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950405167520).

5108510695680 is an abundant number, since it is smaller than the sum of its proper divisors (16792299639360).

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

5108510695680 is an equidigital number, since it uses as much as digits as its factorization.

5108510695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 5108510695680 in words is "five trillion, one hundred eight billion, five hundred ten million, six hundred ninety-five thousand, six hundred eighty".