5102707518720 has 2880 divisors, whose sum is σ = 22975726878720. Its totient is φ = 1055796166656.

The previous prime is 5102707518683. The next prime is 5102707518823. The reversal of 5102707518720 is 278157072015.

5102707518720 is a `hidden beast` number, since 5 + 102 + 7 + 0 + 7 + 518 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 40178799297 + ... + 40178799423.

It is an arithmetic number, because the mean of its divisors is an integer number (7977682944).

Almost surely, 2^{5102707518720} 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 5102707518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11487863439360).

5102707518720 is an abundant number, since it is smaller than the sum of its proper divisors (17873019360000).

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

5102707518720 is a wasteful number, since it uses less digits than its factorization.

5102707518720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 5102707518720 in words is "five trillion, one hundred two billion, seven hundred seven million, five hundred eighteen thousand, seven hundred twenty".