2058834099168 has 480 divisors, whose sum is σ = 7703157369600. Its totient is φ = 534759563520.

The previous prime is 2058834099167. The next prime is 2058834099197. The reversal of 2058834099168 is 8619904388502.

2058834099168 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 83 + 409 + 91 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058834099167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9674355 + ... + 9884877.

It is an arithmetic number, because the mean of its divisors is an integer number (16048244520).

Almost surely, 2^{2058834099168} is an apocalyptic number.

2058834099168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058834099168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851578684800).

2058834099168 is an abundant number, since it is smaller than the sum of its proper divisors (5644323270432).

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

2058834099168 is a wasteful number, since it uses less digits than its factorization.

2058834099168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210577 (or 210546 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 2058834099168 in words is "two trillion, fifty-eight billion, eight hundred thirty-four million, ninety-nine thousand, one hundred sixty-eight".