11471777280 has 360 divisors, whose sum is σ = 41316375672. Its totient is φ = 3054661632.

The previous prime is 11471777279. The next prime is 11471777281. The reversal of 11471777280 is 8277717411.

It is an interprime number because it is at equal distance from previous prime (11471777279) and next prime (11471777281).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11471777281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16795819 + ... + 16796501.

Almost surely, 2^11471777280 is an apocalyptic number.

11471777280 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 11471777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20658187836).

11471777280 is an abundant number, since it is smaller than the sum of its proper divisors (29844598392).

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

11471777280 is an frugal number, since it uses more digits than its factorization.

11471777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 45.

The spelling of 11471777280 in words is "eleven billion, four hundred seventy-one million, seven hundred seventy-seven thousand, two hundred eighty".