10580381540352 has 448 divisors, whose sum is σ = 34396153061760. Its totient is φ = 3194031439872.

The previous prime is 10580381540329. The next prime is 10580381540381. The reversal of 10580381540352 is 25304518308501.

10580381540352 is a `hidden beast` number, since 1 + 0 + 58 + 0 + 3 + 8 + 1 + 540 + 3 + 52 = 666.

It is a super-2 number, since 2×10580381540352² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10580381540298 and 10580381540307.

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 31 ways as a sum of consecutive naturals, for example, 152361063 + ... + 152430489.

It is an arithmetic number, because the mean of its divisors is an integer number (76777127370).

Almost surely, 2^{10580381540352} is an apocalyptic number.

10580381540352 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 10580381540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198076530880).

10580381540352 is an abundant number, since it is smaller than the sum of its proper divisors (23815771521408).

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

10580381540352 is an equidigital number, since it uses as much as digits as its factorization.

10580381540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69528 (or 69498 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

Adding to 10580381540352 its reverse (25304518308501), we get a palindrome (35884899848853).

The spelling of 10580381540352 in words is "ten trillion, five hundred eighty billion, three hundred eighty-one million, five hundred forty thousand, three hundred fifty-two".