11260663560 has 192 divisors, whose sum is σ = 37084132800. Its totient is φ = 2963132928.

The previous prime is 11260663559. The next prime is 11260663567. The reversal of 11260663560 is 6536606211.

11260663560 is a `hidden beast` number, since 1 + 12 + 6 + 0 + 6 + 635 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11260663567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13615867 + ... + 13616693.

It is an arithmetic number, because the mean of its divisors is an integer number (193146525).

Almost surely, 2^11260663560 is an apocalyptic number.

11260663560 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 11260663560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542066400).

11260663560 is an abundant number, since it is smaller than the sum of its proper divisors (25823469240).

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

11260663560 is a wasteful number, since it uses less digits than its factorization.

11260663560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11260663560 in words is "eleven billion, two hundred sixty million, six hundred sixty-three thousand, five hundred sixty".