11282863680 has 224 divisors, whose sum is σ = 43422295680. Its totient is φ = 2735216640.

The previous prime is 11282863679. The next prime is 11282863723. The reversal of 11282863680 is 8636828211.

11282863680 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 8 + 636 + 8 + 0 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35682 + ... + 154398.

Almost surely, 2^11282863680 is an apocalyptic number.

11282863680 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 11282863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21711147840).

11282863680 is an abundant number, since it is smaller than the sum of its proper divisors (32139432000).

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

11282863680 is a wasteful number, since it uses less digits than its factorization.

11282863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118754 (or 118738 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11282863680 in words is "eleven billion, two hundred eighty-two million, eight hundred sixty-three thousand, six hundred eighty".