11302260480 has 864 divisors, whose sum is σ = 48212236800. Its totient is φ = 2480357376.

The previous prime is 11302260443. The next prime is 11302260491. The reversal of 11302260480 is 8406220311.

11302260480 is a `hidden beast` number, since 1 + 1 + 30 + 22 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 63141031 + ... + 63141209.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^11302260480 is an apocalyptic number.

11302260480 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 11302260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24106118400).

11302260480 is an abundant number, since it is smaller than the sum of its proper divisors (36909976320).

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

11302260480 is an equidigital number, since it uses as much as digits as its factorization.

11302260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11302260480 its reverse (8406220311), we get a palindrome (19708480791).

The spelling of 11302260480 in words is "eleven billion, three hundred two million, two hundred sixty thousand, four hundred eighty".