1058096320512 has 416 divisors, whose sum is σ = 3565813585920. Its totient is φ = 271047720960.

The previous prime is 1058096320471. The next prime is 1058096320543. The reversal of 1058096320512 is 2150236908501.

It is a super-2 number, since 2×1058096320512² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69063189 + ... + 69078507.

Almost surely, 2^{1058096320512} is an apocalyptic number.

1058096320512 is a gapful number since it is divisible by the number (12) 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 1058096320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782906792960).

1058096320512 is an abundant number, since it is smaller than the sum of its proper divisors (2507717265408).

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

1058096320512 is a wasteful number, since it uses less digits than its factorization.

1058096320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15437 (or 15415 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 1058096320512 in words is "one trillion, fifty-eight billion, ninety-six million, three hundred twenty thousand, five hundred twelve".