10666080000 has 450 divisors, whose sum is σ = 39790969064. Its totient is φ = 2840832000.

The previous prime is 10666079999. The next prime is 10666080001. The reversal of 10666080000 is 8066601.

It is an interprime number because it is at equal distance from previous prime (10666079999) and next prime (10666080001).

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×10666080000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666080001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959589 + ... + 12960411.

Almost surely, 2^10666080000 is an apocalyptic number.

10666080000 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 10666080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895484532).

10666080000 is an abundant number, since it is smaller than the sum of its proper divisors (29124889064).

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

10666080000 is an frugal number, since it uses more digits than its factorization.

10666080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10666080000 in words is "ten billion, six hundred sixty-six million, eighty thousand".