11306281680 has 240 divisors, whose sum is σ = 38915794944. Its totient is φ = 2940779520.

The previous prime is 11306281673. The next prime is 11306281709. The reversal of 11306281680 is 8618260311.

11306281680 is a `hidden beast` number, since 1 + 13 + 0 + 628 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 5576827 + ... + 5578853.

Almost surely, 2^11306281680 is an apocalyptic number.

11306281680 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 11306281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19457897472).

11306281680 is an abundant number, since it is smaller than the sum of its proper divisors (27609513264).

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

11306281680 is a wasteful number, since it uses less digits than its factorization.

11306281680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11306281680 in words is "eleven billion, three hundred six million, two hundred eighty-one thousand, six hundred eighty".