1058790268800 has 1680 divisors, whose sum is σ = 4452795434400. Its totient is φ = 248396544000.

The previous prime is 1058790268747. The next prime is 1058790268841. The reversal of 1058790268800 is 88620978501.

It is a super-2 number, since 2×1058790268800² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 209 ways as a sum of consecutive naturals, for example, 34154524785 + ... + 34154524815.

Almost surely, 2^{1058790268800} is an apocalyptic number.

1058790268800 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 1058790268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226397717200).

1058790268800 is an abundant number, since it is smaller than the sum of its proper divisors (3394005165600).

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

1058790268800 is an frugal number, since it uses more digits than its factorization.

1058790268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1058790268800 in words is "one trillion, fifty-eight billion, seven hundred ninety million, two hundred sixty-eight thousand, eight hundred".