10656661140 has 108 divisors (see below), whose sum is σ = 34338707676. Its totient is φ = 2674599936.

The previous prime is 10656661121. The next prime is 10656661163. The reversal of 10656661140 is 4116665601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3944196 + 10652716944 = 1986^2 + 103212^2 .

It is a super-2 number, since 2×10656661140² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10656661095 and 10656661104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50409 + ... + 154448.

It is an arithmetic number, because the mean of its divisors is an integer number (317950997).

Almost surely, 2^10656661140 is an apocalyptic number.

10656661140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10656661140 is an abundant number, since it is smaller than the sum of its proper divisors (23682046536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10656661140 is a wasteful number, since it uses less digits than its factorization.

10656661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204906 (or 204884 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10656661140 in words is "ten billion, six hundred fifty-six million, six hundred sixty-one thousand, one hundred forty".