11322305280 has 1152 divisors, whose sum is σ = 49448448000. Its totient is φ = 2415329280.

The previous prime is 11322305273. The next prime is 11322305317. The reversal of 11322305280 is 8250322311.

11322305280 is a `hidden beast` number, since 1 + 132 + 2 + 3 + 0 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 143320281 + ... + 143320359.

It is an arithmetic number, because the mean of its divisors is an integer number (42924000).

Almost surely, 2^11322305280 is an apocalyptic number.

11322305280 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 11322305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724224000).

11322305280 is an abundant number, since it is smaller than the sum of its proper divisors (38126142720).

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

11322305280 is a wasteful number, since it uses less digits than its factorization.

11322305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11322305280 its reverse (8250322311), we get a palindrome (19572627591).

The spelling of 11322305280 in words is "eleven billion, three hundred twenty-two million, three hundred five thousand, two hundred eighty".