11263207680 has 288 divisors, whose sum is σ = 41261982720. Its totient is φ = 2906357760.

The previous prime is 11263207679. The next prime is 11263207751. The reversal of 11263207680 is 8670236211.

11263207680 is a `hidden beast` number, since 1 + 12 + 632 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066104 + ... + 1076616.

Almost surely, 2^11263207680 is an apocalyptic number.

11263207680 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 11263207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630991360).

11263207680 is an abundant number, since it is smaller than the sum of its proper divisors (29998775040).

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

11263207680 is a wasteful number, since it uses less digits than its factorization.

11263207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10574 (or 10554 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11263207680 in words is "eleven billion, two hundred sixty-three million, two hundred seven thousand, six hundred eighty".