10666104335700 has 288 divisors, whose sum is σ = 36178512427008. Its totient is φ = 2397297408000.

The previous prime is 10666104335669. The next prime is 10666104335741. The reversal of 10666104335700 is 753340166601.

10666104335700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10666104335700² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2339845 + ... + 5177555.

It is an arithmetic number, because the mean of its divisors is an integer number (125619834816).

Almost surely, 2^{10666104335700} is an apocalyptic number.

10666104335700 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 10666104335700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089256213504).

10666104335700 is an abundant number, since it is smaller than the sum of its proper divisors (25512408091308).

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

10666104335700 is a wasteful number, since it uses less digits than its factorization.

10666104335700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837823 (or 2837816 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 10666104335700 in words is "ten trillion, six hundred sixty-six billion, one hundred four million, three hundred thirty-five thousand, seven hundred".