5105984489760 has 384 divisors, whose sum is σ = 20136530534400. Its totient is φ = 1056542699520.

The previous prime is 5105984489741. The next prime is 5105984489797. The reversal of 5105984489760 is 679844895015.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 5105984489691 and 5105984489700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8544426 + ... + 9122454.

It is an arithmetic number, because the mean of its divisors is an integer number (52438881600).

Almost surely, 2^{5105984489760} 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 5105984489760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10068265267200).

5105984489760 is an abundant number, since it is smaller than the sum of its proper divisors (15030546044640).

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

5105984489760 is a wasteful number, since it uses less digits than its factorization.

5105984489760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578304 (or 578296 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 5105984489760 in words is "five trillion, one hundred five billion, nine hundred eighty-four million, four hundred eighty-nine thousand, seven hundred sixty".