2058091123968 has 576 divisors, whose sum is σ = 7016734771200. Its totient is φ = 588484362240.

The previous prime is 2058091123961. The next prime is 2058091123973. The reversal of 2058091123968 is 8693211908502.

2058091123968 is a `hidden beast` number, since 20 + 580 + 9 + 1 + 1 + 2 + 39 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058091123961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379929196 + ... + 379934612.

It is an arithmetic number, because the mean of its divisors is an integer number (12181831200).

Almost surely, 2^{2058091123968} 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 2058091123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508367385600).

2058091123968 is an abundant number, since it is smaller than the sum of its proper divisors (4958643647232).

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

2058091123968 is a wasteful number, since it uses less digits than its factorization.

2058091123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2058091123968 in words is "two trillion, fifty-eight billion, ninety-one million, one hundred twenty-three thousand, nine hundred sixty-eight".