5985413148768 has 48 divisors (see below), whose sum is σ = 16538641600320. Its totient is φ = 1890130467456.

The previous prime is 5985413148763. The next prime is 5985413148797. The reversal of 5985413148768 is 8678413145895.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5985413148768² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5985413148761) 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 7 ways as a sum of consecutive naturals, for example, 1640736430 + ... + 1640740077.

It is an arithmetic number, because the mean of its divisors is an integer number (344555033340).

Almost surely, 2^{5985413148768} is an apocalyptic number.

It is an amenable number.

5985413148768 is an abundant number, since it is smaller than the sum of its proper divisors (10553228451552).

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

5985413148768 is a wasteful number, since it uses less digits than its factorization.

5985413148768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281476539 (or 3281476531 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 69.

The spelling of 5985413148768 in words is "five trillion, nine hundred eighty-five billion, four hundred thirteen million, one hundred forty-eight thousand, seven hundred sixty-eight".