5007905753760 has 1920 divisors, whose sum is σ = 23369556672000. Its totient is φ = 1000782397440.

The previous prime is 5007905753743. The next prime is 5007905753777. The reversal of 5007905753760 is 673575097005.

5007905753760 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 9 + 0 + 575 + 3 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5007905753743) and next prime (5007905753777).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5007905753697 and 5007905753706.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1097981880 + ... + 1097986440.

It is an arithmetic number, because the mean of its divisors is an integer number (12171644100).

Almost surely, 2^{5007905753760} 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 5007905753760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684778336000).

5007905753760 is an abundant number, since it is smaller than the sum of its proper divisors (18361650918240).

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

5007905753760 is a wasteful number, since it uses less digits than its factorization.

5007905753760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 5007905753760 in words is "five trillion, seven billion, nine hundred five million, seven hundred fifty-three thousand, seven hundred sixty".