11000010672 has 120 divisors (see below), whose sum is σ = 35349999360. Its totient is φ = 3127904640.

The previous prime is 11000010647. The next prime is 11000010673. The reversal of 11000010672 is 27601000011.

It is a super-2 number, since 2×11000010672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11000010673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186829 + ... + 238547.

It is an arithmetic number, because the mean of its divisors is an integer number (294583328).

Almost surely, 2^11000010672 is an apocalyptic number.

11000010672 is a gapful number since it is divisible by the number (12) 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 11000010672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674999680).

11000010672 is an abundant number, since it is smaller than the sum of its proper divisors (24349988688).

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

11000010672 is a wasteful number, since it uses less digits than its factorization.

11000010672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51951 (or 51942 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 11000010672 its reverse (27601000011), we get a palindrome (38601010683).

The spelling of 11000010672 in words is "eleven billion, ten thousand, six hundred seventy-two".