10656625104135 has 24 divisors (see below), whose sum is σ = 18471848760144. Its totient is φ = 5683421005440.

The previous prime is 10656625104119. The next prime is 10656625104173. The reversal of 10656625104135 is 53140152665601.

10656625104135 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 62 + 510 + 41 + 35 = 666.

It is not a de Polignac number, because 10656625104135 - 2⁴ = 10656625104119 is a prime.

It is a super-2 number, since 2×10656625104135² (a number of 27 digits) contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14862 + ... + 4616651.

It is an arithmetic number, because the mean of its divisors is an integer number (769660365006).

Almost surely, 2^{10656625104135} is an apocalyptic number.

10656625104135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10656625104135 is a deficient number, since it is larger than the sum of its proper divisors (7815223656009).

10656625104135 is a wasteful number, since it uses less digits than its factorization.

10656625104135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682655 (or 4682652 counting only the distinct ones).

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

Adding to 10656625104135 its reverse (53140152665601), we get a palindrome (63796777769736).

The spelling of 10656625104135 in words is "ten trillion, six hundred fifty-six billion, six hundred twenty-five million, one hundred four thousand, one hundred thirty-five".