5905858748768 has 96 divisors (see below), whose sum is σ = 12877493021568. Its totient is φ = 2643592089600.

The previous prime is 5905858748767. The next prime is 5905858748773. The reversal of 5905858748768 is 8678478585095.

It is a junction number, because it is equal to n+sod(n) for n = 5905858748692 and 5905858748701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5905858748767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79228571 + ... + 79303077.

It is an arithmetic number, because the mean of its divisors is an integer number (134140552308).

Almost surely, 2^{5905858748768} 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 5905858748768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438746510784).

5905858748768 is an abundant number, since it is smaller than the sum of its proper divisors (6971634272800).

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

5905858748768 is a wasteful number, since it uses less digits than its factorization.

5905858748768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77956 (or 77948 counting only the distinct ones).

The product of its (nonzero) digits is 5419008000, while the sum is 80.

The spelling of 5905858748768 in words is "five trillion, nine hundred five billion, eight hundred fifty-eight million, seven hundred forty-eight thousand, seven hundred sixty-eight".