3058987171968 has 1152 divisors, whose sum is σ = 11627861394240. Its totient is φ = 793226649600.

The previous prime is 3058987171949. The next prime is 3058987171969. The reversal of 3058987171968 is 8691717898503.

3058987171968 is a `hidden beast` number, since 30 + 589 + 8 + 7 + 1 + 7 + 1 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3058987171896 and 3058987171905.

It is not an unprimeable number, because it can be changed into a prime (3058987171969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1208606863 + ... + 1208609393.

Almost surely, 2^{3058987171968} 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 3058987171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813930697120).

3058987171968 is an abundant number, since it is smaller than the sum of its proper divisors (8568874222272).

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

3058987171968 is a wasteful number, since it uses less digits than its factorization.

3058987171968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 3058987171968 in words is "three trillion, fifty-eight billion, nine hundred eighty-seven million, one hundred seventy-one thousand, nine hundred sixty-eight".