11291268418560 has 528 divisors, whose sum is σ = 42824337192000. Its totient is φ = 2733816545280.

The previous prime is 11291268418559. The next prime is 11291268418579. The reversal of 11291268418560 is 6581486219211.

11291268418560 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 1 + 2 + 68 + 4 + 18 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11291268418497 and 11291268418506.

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, 36386941 + ... + 36695939.

Almost surely, 2^{11291268418560} is an apocalyptic number.

11291268418560 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 11291268418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21412168596000).

11291268418560 is an abundant number, since it is smaller than the sum of its proper divisors (31533068773440).

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

11291268418560 is a wasteful number, since it uses less digits than its factorization.

11291268418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309104 (or 309083 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11291268418560 in words is "eleven trillion, two hundred ninety-one billion, two hundred sixty-eight million, four hundred eighteen thousand, five hundred sixty".