11066671000 has 256 divisors, whose sum is σ = 32628510720. Its totient is φ = 3412800000.

The previous prime is 11066670983. The next prime is 11066671001. The reversal of 11066671000 is 17666011.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11066671000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11066671001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7776289 + ... + 7777711.

It is an arithmetic number, because the mean of its divisors is an integer number (127455120).

Almost surely, 2^11066671000 is an apocalyptic number.

11066671000 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 11066671000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314255360).

11066671000 is an abundant number, since it is smaller than the sum of its proper divisors (21561839720).

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

11066671000 is a wasteful number, since it uses less digits than its factorization.

11066671000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 11066671000 in words is "eleven billion, sixty-six million, six hundred seventy-one thousand".