1058208558000 has 320 divisors, whose sum is σ = 3724400908800. Its totient is φ = 256357248000.

The previous prime is 1058208557963. The next prime is 1058208558031. The reversal of 1058208558000 is 8558028501.

It is a super-2 number, since 2×1058208558000² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 112129282 + ... + 112138718.

It is an arithmetic number, because the mean of its divisors is an integer number (11638752840).

Almost surely, 2^{1058208558000} is an apocalyptic number.

1058208558000 is a gapful number since it is divisible by the number (10) 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 1058208558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862200454400).

1058208558000 is an abundant number, since it is smaller than the sum of its proper divisors (2666192350800).

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

1058208558000 is a wasteful number, since it uses less digits than its factorization.

1058208558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 42.

The spelling of 1058208558000 in words is "one trillion, fifty-eight billion, two hundred eight million, five hundred fifty-eight thousand".