2058835968000 has 1680 divisors, whose sum is σ = 8849864447424. Its totient is φ = 468202291200.

The previous prime is 2058835967957. The next prime is 2058835968037. The reversal of 2058835968000 is 8695388502.

2058835968000 is a `hidden beast` number, since 2 + 0 + 588 + 3 + 59 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 10450943902 + ... + 10450944098.

Almost surely, 2^{2058835968000} is an apocalyptic number.

2058835968000 is a gapful number since it is divisible by the number (20) 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 2058835968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424932223712).

2058835968000 is an abundant number, since it is smaller than the sum of its proper divisors (6791028479424).

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

2058835968000 is an frugal number, since it uses more digits than its factorization.

2058835968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 2058835968000 in words is "two trillion, fifty-eight billion, eight hundred thirty-five million, nine hundred sixty-eight thousand".