1058118888960 has 2560 divisors, whose sum is σ = 4831833600000. Its totient is φ = 221225582592.

The previous prime is 1058118888947. The next prime is 1058118888991. The reversal of 1058118888960 is 698888118501.

1058118888960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×1058118888960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36486858226 + ... + 36486858254.

It is an arithmetic number, because the mean of its divisors is an integer number (1887435000).

Almost surely, 2^{1058118888960} is an apocalyptic number.

1058118888960 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 1058118888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415916800000).

1058118888960 is an abundant number, since it is smaller than the sum of its proper divisors (3773714711040).

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

1058118888960 is an frugal number, since it uses more digits than its factorization.

1058118888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 63.

The spelling of 1058118888960 in words is "one trillion, fifty-eight billion, one hundred eighteen million, eight hundred eighty-eight thousand, nine hundred sixty".