1058535382050 has 180 divisors, whose sum is σ = 2990208893958. Its totient is φ = 277644672000.

The previous prime is 1058535382049. The next prime is 1058535382081. The reversal of 1058535382050 is 502835358501.

1058535382050 is a `hidden beast` number, since 1 + 0 + 585 + 35 + 38 + 2 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 626450841 + 1057908931209 = 25029^2 + 1028547^2 .

It is a super-2 number, since 2×1058535382050² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1058535381987 and 1058535382005.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15034930 + ... + 15105170.

Almost surely, 2^{1058535382050} is an apocalyptic number.

1058535382050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058535382050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495104446979).

1058535382050 is an abundant number, since it is smaller than the sum of its proper divisors (1931673511908).

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

1058535382050 is an equidigital number, since it uses as much as digits as its factorization.

1058535382050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70387 (or 70312 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 1058535382050 in words is "one trillion, fifty-eight billion, five hundred thirty-five million, three hundred eighty-two thousand, fifty".