10005750530260 has 48 divisors (see below), whose sum is σ = 21525562073232. Its totient is φ = 3904502400000.

The previous prime is 10005750530249. The next prime is 10005750530263. The reversal of 10005750530260 is 6203505750001.

It can be written as a sum of positive squares in 8 ways, for example, as 228547100356 + 9777203429904 = 478066^2 + 3126852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005750530263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18179674 + ... + 18721966.

It is an arithmetic number, because the mean of its divisors is an integer number (448449209859).

Almost surely, 2^{10005750530260} is an apocalyptic number.

10005750530260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005750530260 is an abundant number, since it is smaller than the sum of its proper divisors (11519811542972).

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

10005750530260 is a wasteful number, since it uses less digits than its factorization.

10005750530260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564844 (or 564842 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The spelling of 10005750530260 in words is "ten trillion, five billion, seven hundred fifty million, five hundred thirty thousand, two hundred sixty".