11705057280 has 714 divisors, whose sum is σ = 48995126226. Its totient is φ = 2675441664.

The previous prime is 11705057257. The next prime is 11705057281. The reversal of 11705057280 is 8275050711.

11705057280 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 5 + 0 + 572 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9364045824 + 2341011456 = 96768^2 + 48384^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11705057281) 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 41 ways as a sum of consecutive naturals, for example, 1672151037 + ... + 1672151043.

Almost surely, 2^11705057280 is an apocalyptic number.

11705057280 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 11705057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24497563113).

11705057280 is an abundant number, since it is smaller than the sum of its proper divisors (37290068946).

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

11705057280 is an frugal number, since it uses more digits than its factorization.

11705057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 11705057280 in words is "eleven billion, seven hundred five million, fifty-seven thousand, two hundred eighty".