5005695946752 has 520 divisors, whose sum is σ = 15776108453600. Its totient is φ = 1577172860928.

The previous prime is 5005695946673. The next prime is 5005695946759. The reversal of 5005695946752 is 2576495965005.

5005695946752 is a `hidden beast` number, since 5 + 0 + 0 + 569 + 5 + 9 + 4 + 67 + 5 + 2 = 666.

It is a super-2 number, since 2×5005695946752² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5005695946752.

It is not an unprimeable number, because it can be changed into a prime (5005695946759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4961046024 + ... + 4961047032.

Almost surely, 2^{5005695946752} 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 5005695946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888054226800).

5005695946752 is an abundant number, since it is smaller than the sum of its proper divisors (10770412506848).

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

5005695946752 is a wasteful number, since it uses less digits than its factorization.

5005695946752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 5005695946752 in words is "five trillion, five billion, six hundred ninety-five million, nine hundred forty-six thousand, seven hundred fifty-two".