1058352920352 has 576 divisors, whose sum is σ = 3843968244480. Its totient is φ = 268657385472.

The previous prime is 1058352920351. The next prime is 1058352920407. The reversal of 1058352920352 is 2530292538501.

1058352920352 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 3 + 5 + 292 + 0 + 352 = 666.

It is a super-2 number, since 2×1058352920352² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1058352920298 and 1058352920307.

It is not an unprimeable number, because it can be changed into a prime (1058352920351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263729098 + ... + 263733110.

It is an arithmetic number, because the mean of its divisors is an integer number (6673555980).

Almost surely, 2^{1058352920352} is an apocalyptic number.

1058352920352 is a gapful number since it is divisible by the number (12) 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 1058352920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921984122240).

1058352920352 is an abundant number, since it is smaller than the sum of its proper divisors (2785615324128).

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

1058352920352 is a wasteful number, since it uses less digits than its factorization.

1058352920352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1058352920352 in words is "one trillion, fifty-eight billion, three hundred fifty-two million, nine hundred twenty thousand, three hundred fifty-two".