11085644640 has 384 divisors, whose sum is σ = 41803776000. Its totient is φ = 2415974400.

The previous prime is 11085644617. The next prime is 11085644641. The reversal of 11085644640 is 4644658011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085644641) 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, 7394611 + ... + 7396109.

It is an arithmetic number, because the mean of its divisors is an integer number (108864000).

Almost surely, 2^11085644640 is an apocalyptic number.

11085644640 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 11085644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888000).

11085644640 is an abundant number, since it is smaller than the sum of its proper divisors (30718131360).

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

11085644640 is a wasteful number, since it uses less digits than its factorization.

11085644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 11085644640 in words is "eleven billion, eighty-five million, six hundred forty-four thousand, six hundred forty".