11276340480 has 180 divisors, whose sum is σ = 40349179332. Its totient is φ = 3006996480.

The previous prime is 11276340469. The next prime is 11276340497. The reversal of 11276340480 is 8404367211.

11276340480 is a `hidden beast` number, since 1 + 1 + 276 + 340 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7316407296 + 3959933184 = 85536^2 + 62928^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49300 + ... + 158060.

Almost surely, 2^11276340480 is an apocalyptic number.

11276340480 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 11276340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174589666).

11276340480 is an abundant number, since it is smaller than the sum of its proper divisors (29072838852).

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

11276340480 is an equidigital number, since it uses as much as digits as its factorization.

11276340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108794 (or 108771 counting only the distinct ones).

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

The spelling of 11276340480 in words is "eleven billion, two hundred seventy-six million, three hundred forty thousand, four hundred eighty".