5845039226880 has 1792 divisors, whose sum is σ = 23674562150400. Its totient is φ = 1201400709120.

The previous prime is 5845039226879. The next prime is 5845039226953. The reversal of 5845039226880 is 886229305485.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×5845039226880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 42050641851 + ... + 42050641989.

It is an arithmetic number, because the mean of its divisors is an integer number (13211251200).

Almost surely, 2^{5845039226880} 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 5845039226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11837281075200).

5845039226880 is an abundant number, since it is smaller than the sum of its proper divisors (17829522923520).

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

5845039226880 is a wasteful number, since it uses less digits than its factorization.

5845039226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 5845039226880 in words is "five trillion, eight hundred forty-five billion, thirty-nine million, two hundred twenty-six thousand, eight hundred eighty".