1058053360 has 320 divisors, whose sum is σ = 3239792640. Its totient is φ = 312238080.

The previous prime is 1058053351. The next prime is 1058053379. The reversal of 1058053360 is 633508501.

1058053360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1058053360² = 2238953825214579200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11888196 + ... + 11888284.

It is an arithmetic number, because the mean of its divisors is an integer number (10124352).

Almost surely, 2^1058053360 is an apocalyptic number.

1058053360 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 1058053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

1058053360 is an abundant number, since it is smaller than the sum of its proper divisors (2181739280).

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

1058053360 is a wasteful number, since it uses less digits than its factorization.

1058053360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1058053360 is about 32527.7321681054. The cubic root of 1058053360 is about 1018.9882830025.

The spelling of 1058053360 in words is "one billion, fifty-eight million, fifty-three thousand, three hundred sixty".