10005761227268 has 6 divisors (see below), whose sum is σ = 17510082147726. Its totient is φ = 5002880613632.

The previous prime is 10005761227249. The next prime is 10005761227279. The reversal of 10005761227268 is 86272216750001.

10005761227268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9796599522304 + 209161704964 = 3129952^2 + 457342^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250720153405 + ... + 1250720153412.

It is an arithmetic number, because the mean of its divisors is an integer number (2918347024621).

Almost surely, 2^{10005761227268} is an apocalyptic number.

It is an amenable number.

10005761227268 is a deficient number, since it is larger than the sum of its proper divisors (7504320920458).

10005761227268 is a wasteful number, since it uses less digits than its factorization.

10005761227268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501440306821 (or 2501440306819 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

Adding to 10005761227268 its reverse (86272216750001), we get a palindrome (96277977977269).

The spelling of 10005761227268 in words is "ten trillion, five billion, seven hundred sixty-one million, two hundred twenty-seven thousand, two hundred sixty-eight".