10666051110500 has 24 divisors (see below), whose sum is σ = 23294655626424. Its totient is φ = 4266420444000.

The previous prime is 10666051110499. The next prime is 10666051110511. The reversal of 10666051110500 is 501115066601.

It can be written as a sum of positive squares in 4 ways, for example, as 60724787776 + 10605326322724 = 246424^2 + 3256582^2 .

It is a super-2 number, since 2×10666051110500² (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 7 ways as a sum of consecutive naturals, for example, 10666050611 + ... + 10666051610.

It is an arithmetic number, because the mean of its divisors is an integer number (970610651101).

Almost surely, 2^{10666051110500} is an apocalyptic number.

10666051110500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10666051110500 is an abundant number, since it is smaller than the sum of its proper divisors (12628604515924).

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

10666051110500 is a wasteful number, since it uses less digits than its factorization.

10666051110500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21332102240 (or 21332102228 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 10666051110500 in words is "ten trillion, six hundred sixty-six billion, fifty-one million, one hundred ten thousand, five hundred".