5104719943680 has 1536 divisors, whose sum is σ = 20795985100800. Its totient is φ = 1042572902400.

The previous prime is 5104719943633. The next prime is 5104719943691. The reversal of 5104719943680 is 863499174015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 5104719943680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5193000469 + ... + 5193001451.

It is an arithmetic number, because the mean of its divisors is an integer number (13539052800).

Almost surely, 2^{5104719943680} 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 5104719943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397992550400).

5104719943680 is an abundant number, since it is smaller than the sum of its proper divisors (15691265157120).

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

5104719943680 is a wasteful number, since it uses less digits than its factorization.

5104719943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 5104719943680 in words is "five trillion, one hundred four billion, seven hundred nineteen million, nine hundred forty-three thousand, six hundred eighty".