10688056701633 has 24 divisors (see below), whose sum is σ = 15482346834240. Its totient is φ = 7105046398560.

The previous prime is 10688056701607. The next prime is 10688056701659. The reversal of 10688056701633 is 33610765088601.

10688056701633 is a `hidden beast` number, since 1 + 0 + 68 + 8 + 0 + 567 + 0 + 16 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10688056701607) and next prime (10688056701659).

It is not a de Polignac number, because 10688056701633 - 2¹⁰ = 10688056700609 is a prime.

It is a super-2 number, since 2×10688056701633² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10688056701633.

It is not an unprimeable number, because it can be changed into a prime (10688056701683) by changing a digit.

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, 51790110 + ... + 51996072.

It is an arithmetic number, because the mean of its divisors is an integer number (645097784760).

Almost surely, 2^{10688056701633} is an apocalyptic number.

It is an amenable number.

10688056701633 is a deficient number, since it is larger than the sum of its proper divisors (4794290132607).

10688056701633 is a wasteful number, since it uses less digits than its factorization.

10688056701633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222389 (or 222386 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10688056701633 in words is "ten trillion, six hundred eighty-eight billion, fifty-six million, seven hundred one thousand, six hundred thirty-three".