10666061560000 has 560 divisors, whose sum is σ = 33676630428672. Its totient is φ = 3253708800000.

The previous prime is 10666061559971. The next prime is 10666061560073. The reversal of 10666061560000 is 6516066601.

10666061560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×10666061560000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144723160 + ... + 144796840.

Almost surely, 2^{10666061560000} is an apocalyptic number.

10666061560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10666061560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838315214336).

10666061560000 is an abundant number, since it is smaller than the sum of its proper divisors (23010568868672).

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

10666061560000 is an equidigital number, since it uses as much as digits as its factorization.

10666061560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73778 (or 73753 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 10666061560000 in words is "ten trillion, six hundred sixty-six billion, sixty-one million, five hundred sixty thousand".