11010006000 has 1200 divisors, whose sum is σ = 49363760160. Its totient is φ = 2351462400.

The previous prime is 11010005921. The next prime is 11010006001. The reversal of 11010006000 is 60001011.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010006001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 150821964 + ... + 150822036.

Almost surely, 2^11010006000 is an apocalyptic number.

11010006000 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 11010006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24681880080).

11010006000 is an abundant number, since it is smaller than the sum of its proper divisors (38353754160).

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

11010006000 is a wasteful number, since it uses less digits than its factorization.

11010006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11010006000 its reverse (60001011), we get a palindrome (11070007011).

The spelling of 11010006000 in words is "eleven billion, ten million, six thousand".