11007231264 has 144 divisors (see below), whose sum is σ = 34371031968. Its totient is φ = 3453207552.

The previous prime is 11007231251. The next prime is 11007231311. The reversal of 11007231264 is 46213270011.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90559 + ... + 173825.

It is an arithmetic number, because the mean of its divisors is an integer number (238687722).

Almost surely, 2^11007231264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11007231264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17185515984).

11007231264 is an abundant number, since it is smaller than the sum of its proper divisors (23363800704).

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

11007231264 is an equidigital number, since it uses as much as digits as its factorization.

11007231264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83309 (or 83289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11007231264 in words is "eleven billion, seven million, two hundred thirty-one thousand, two hundred sixty-four".