11304276480 has 1440 divisors, whose sum is σ = 52395932160. Its totient is φ = 2229534720.

The previous prime is 11304276469. The next prime is 11304276481. The reversal of 11304276480 is 8467240311.

11304276480 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 2 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×11304276480³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11304276481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 364654065 + ... + 364654095.

It is an arithmetic number, because the mean of its divisors is an integer number (36386064).

Almost surely, 2^11304276480 is an apocalyptic number.

11304276480 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 11304276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26197966080).

11304276480 is an abundant number, since it is smaller than the sum of its proper divisors (41091655680).

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

11304276480 is a wasteful number, since it uses less digits than its factorization.

11304276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11304276480 in words is "eleven billion, three hundred four million, two hundred seventy-six thousand, four hundred eighty".