11288484480 has 256 divisors, whose sum is σ = 44286278400. Its totient is φ = 2381709312.

The previous prime is 11288484463. The next prime is 11288484533. The reversal of 11288484480 is 8448488211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142416 + ... + 207024.

It is an arithmetic number, because the mean of its divisors is an integer number (172993275).

Almost surely, 2^11288484480 is an apocalyptic number.

11288484480 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 11288484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22143139200).

11288484480 is an abundant number, since it is smaller than the sum of its proper divisors (32997793920).

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

11288484480 is a wasteful number, since it uses less digits than its factorization.

11288484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64651 (or 64639 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 11288484480 in words is "eleven billion, two hundred eighty-eight million, four hundred eighty-four thousand, four hundred eighty".