10655833855601 has 16 divisors (see below), whose sum is σ = 11746316736000. Its totient is φ = 9585755184000.

The previous prime is 10655833855591. The next prime is 10655833855609.

It is a happy number.

10655833855601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10655833855601 is a prime.

It is a super-2 number, since 2×10655833855601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10655833855609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772076 + ... + 4680573.

It is an arithmetic number, because the mean of its divisors is an integer number (734144796000).

Almost surely, 2^{10655833855601} is an apocalyptic number.

10655833855601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10655833855601 is a deficient number, since it is larger than the sum of its proper divisors (1090482880399).

10655833855601 is a wasteful number, since it uses less digits than its factorization.

10655833855601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454520.

The product of its (nonzero) digits is 12960000, while the sum is 56.

The spelling of 10655833855601 in words is "ten trillion, six hundred fifty-five billion, eight hundred thirty-three million, eight hundred fifty-five thousand, six hundred one".