10661057114160 has 80 divisors (see below), whose sum is σ = 33077991444480. Its totient is φ = 2840478508800.

The previous prime is 10661057114159. The next prime is 10661057114207. The reversal of 10661057114160 is 6141175016601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10661057114160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 19020490 + ... + 19572969.

It is an arithmetic number, because the mean of its divisors is an integer number (413474893056).

Almost surely, 2^{10661057114160} is an apocalyptic number.

10661057114160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10661057114160 is an abundant number, since it is smaller than the sum of its proper divisors (22416934330320).

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

10661057114160 is a wasteful number, since it uses less digits than its factorization.

10661057114160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38594626 (or 38594620 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 10661057114160 in words is "ten trillion, six hundred sixty-one billion, fifty-seven million, one hundred fourteen thousand, one hundred sixty".