1058135898240 has 768 divisors, whose sum is σ = 3893138121600. Its totient is φ = 264438743040.

The previous prime is 1058135898223. The next prime is 1058135898251. The reversal of 1058135898240 is 428985318501.

1058135898240 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 13 + 589 + 8 + 2 + 40 = 666.

It is a super-2 number, since 2×1058135898240² (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 95 ways as a sum of consecutive naturals, for example, 725246631 + ... + 725248089.

Almost surely, 2^{1058135898240} is an apocalyptic number.

1058135898240 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 1058135898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946569060800).

1058135898240 is an abundant number, since it is smaller than the sum of its proper divisors (2835002223360).

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

1058135898240 is a wasteful number, since it uses less digits than its factorization.

1058135898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1058135898240 in words is "one trillion, fifty-eight billion, one hundred thirty-five million, eight hundred ninety-eight thousand, two hundred forty".