10240105552353 has 24 divisors (see below), whose sum is σ = 14970322278912. Its totient is φ = 6744103905888.

The previous prime is 10240105552331. The next prime is 10240105552367. The reversal of 10240105552353 is 35325550104201.

10240105552353 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 10 + 5 + 552 + 3 + 53 = 666.

It is not a de Polignac number, because 10240105552353 - 2⁵ = 10240105552321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10240105552753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13075200 + ... + 13836222.

It is an arithmetic number, because the mean of its divisors is an integer number (623763428288).

Almost surely, 2^{10240105552353} is an apocalyptic number.

It is an amenable number.

10240105552353 is a deficient number, since it is larger than the sum of its proper divisors (4730216726559).

10240105552353 is a wasteful number, since it uses less digits than its factorization.

10240105552353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779125 (or 779122 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 10240105552353 its reverse (35325550104201), we get a palindrome (45565655656554).

The spelling of 10240105552353 in words is "ten trillion, two hundred forty billion, one hundred five million, five hundred fifty-two thousand, three hundred fifty-three".