1058259120 has 80 divisors (see below), whose sum is σ = 3287265792. Its totient is φ = 281629440.

The previous prime is 1058259119. The next prime is 1058259133. The reversal of 1058259120 is 219528501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1058259120² = 2239824730126348800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121305 + ... + 129735.

Almost surely, 2^1058259120 is an apocalyptic number.

1058259120 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 1058259120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643632896).

1058259120 is an abundant number, since it is smaller than the sum of its proper divisors (2229006672).

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

1058259120 is a wasteful number, since it uses less digits than its factorization.

1058259120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 1058259120 is about 32530.8948539692. The cubic root of 1058259120 is about 1019.0543330548.

The spelling of 1058259120 in words is "one billion, fifty-eight million, two hundred fifty-nine thousand, one hundred twenty".