10656610155667 has 16 divisors (see below), whose sum is σ = 12386641363200. Its totient is φ = 8978524403040.

The previous prime is 10656610155563. The next prime is 10656610155671. The reversal of 10656610155667 is 76655101665601.

It is a cyclic number.

It is not a de Polignac number, because 10656610155667 - 2³⁵ = 10622250417299 is a prime.

It is a super-2 number, since 2×10656610155667² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10656610155067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877192 + ... + 5439802.

It is an arithmetic number, because the mean of its divisors is an integer number (774165085200).

Almost surely, 2^{10656610155667} is an apocalyptic number.

10656610155667 is a deficient number, since it is larger than the sum of its proper divisors (1730031207533).

10656610155667 is a wasteful number, since it uses less digits than its factorization.

10656610155667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572746.

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 10656610155667 in words is "ten trillion, six hundred fifty-six billion, six hundred ten million, one hundred fifty-five thousand, six hundred sixty-seven".