1058771427840 has 720 divisors, whose sum is σ = 4298649600960. Its totient is φ = 240123985920.

The previous prime is 1058771427839. The next prime is 1058771427851. The reversal of 1058771427840 is 487241778501.

It is a happy number.

1058771427840 is a `hidden beast` number, since 1 + 0 + 587 + 7 + 14 + 2 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1058771427840² (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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147890181 + ... + 147897339.

It is an arithmetic number, because the mean of its divisors is an integer number (5970346668).

Almost surely, 2^{1058771427840} is an apocalyptic number.

1058771427840 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 1058771427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149324800480).

1058771427840 is an abundant number, since it is smaller than the sum of its proper divisors (3239878173120).

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

1058771427840 is a wasteful number, since it uses less digits than its factorization.

1058771427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 1058771427840 in words is "one trillion, fifty-eight billion, seven hundred seventy-one million, four hundred twenty-seven thousand, eight hundred forty".