5813893075752 has 128 divisors (see below), whose sum is σ = 17011650816000. Its totient is φ = 1834674183360.

The previous prime is 5813893075717. The next prime is 5813893075787. The reversal of 5813893075752 is 2575703983185.

5813893075752 is a `hidden beast` number, since 58 + 1 + 3 + 8 + 9 + 3 + 0 + 7 + 575 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5813893075717) and next prime (5813893075787).

It is a self number, because there is not a number n which added to its sum of digits gives 5813893075752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5342227 + ... + 6337757.

It is an arithmetic number, because the mean of its divisors is an integer number (132903522000).

Almost surely, 2^{5813893075752} 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 5813893075752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505825408000).

5813893075752 is an abundant number, since it is smaller than the sum of its proper divisors (11197757740248).

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

5813893075752 is a wasteful number, since it uses less digits than its factorization.

5813893075752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996988 (or 996978 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 5813893075752 in words is "five trillion, eight hundred thirteen billion, eight hundred ninety-three million, seventy-five thousand, seven hundred fifty-two".