11264365840 has 640 divisors, whose sum is σ = 36477665280. Its totient is φ = 3135283200.

The previous prime is 11264365823. The next prime is 11264365907. The reversal of 11264365840 is 4856346211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11264365793 and 11264365802.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158653005 + ... + 158653075.

It is an arithmetic number, because the mean of its divisors is an integer number (56996352).

Almost surely, 2^11264365840 is an apocalyptic number.

11264365840 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 11264365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18238832640).

11264365840 is an abundant number, since it is smaller than the sum of its proper divisors (25213299440).

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

11264365840 is a wasteful number, since it uses less digits than its factorization.

11264365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 11264365840 in words is "eleven billion, two hundred sixty-four million, three hundred sixty-five thousand, eight hundred forty".