5104870384608 has 288 divisors, whose sum is σ = 15295621068000. Its totient is φ = 1674492051456.

The previous prime is 5104870384583. The next prime is 5104870384613. The reversal of 5104870384608 is 8064830784015.

5104870384608 is a `hidden beast` number, since 5 + 104 + 8 + 70 + 3 + 8 + 460 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 254863938 + ... + 254883966.

It is an arithmetic number, because the mean of its divisors is an integer number (53109795375).

Almost surely, 2^{5104870384608} 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 5104870384608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647810534000).

5104870384608 is an abundant number, since it is smaller than the sum of its proper divisors (10190750683392).

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

5104870384608 is a wasteful number, since it uses less digits than its factorization.

5104870384608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20576 (or 20556 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 5104870384608 in words is "five trillion, one hundred four billion, eight hundred seventy million, three hundred eighty-four thousand, six hundred eight".