5104123517952 has 660 divisors, whose sum is σ = 16203110887656. Its totient is φ = 1599883591680.

The previous prime is 5104123517921. The next prime is 5104123517957. The reversal of 5104123517952 is 2597153214015.

5104123517952 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 123 + 517 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5104123517898 and 5104123517907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104123517957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2676518983 + ... + 2676520889.

Almost surely, 2^{5104123517952} 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 5104123517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101555443828).

5104123517952 is an abundant number, since it is smaller than the sum of its proper divisors (11098987369704).

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

5104123517952 is a wasteful number, since it uses less digits than its factorization.

5104123517952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5104123517952 in words is "five trillion, one hundred four billion, one hundred twenty-three million, five hundred seventeen thousand, nine hundred fifty-two".