11115664000 has 256 divisors, whose sum is σ = 32121872640. Its totient is φ = 3746304000.

The previous prime is 11115663973. The next prime is 11115664009. The reversal of 11115664000 is 46651111.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11115664009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6831187 + ... + 6832813.

It is an arithmetic number, because the mean of its divisors is an integer number (125476065).

Almost surely, 2^11115664000 is an apocalyptic number.

11115664000 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 11115664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060936320).

11115664000 is an abundant number, since it is smaller than the sum of its proper divisors (21006208640).

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

11115664000 is an equidigital number, since it uses as much as digits as its factorization.

11115664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 11115664000 in words is "eleven billion, one hundred fifteen million, six hundred sixty-four thousand".