11324888640 has 672 divisors, whose sum is σ = 46131845760. Its totient is φ = 2619703296.

The previous prime is 11324888639. The next prime is 11324888669. The reversal of 11324888640 is 4688842311.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17184631 + ... + 17185289.

It is an arithmetic number, because the mean of its divisors is an integer number (68648580).

Almost surely, 2^11324888640 is an apocalyptic number.

11324888640 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 11324888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23065922880).

11324888640 is an abundant number, since it is smaller than the sum of its proper divisors (34806957120).

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

11324888640 is a wasteful number, since it uses less digits than its factorization.

11324888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 11324888640 in words is "eleven billion, three hundred twenty-four million, eight hundred eighty-eight thousand, six hundred forty".