11051640643560 has 256 divisors, whose sum is σ = 36274728960000. Its totient is φ = 2671364428800.

The previous prime is 11051640643543. The next prime is 11051640643567. The reversal of 11051640643560 is 6534604615011.

11051640643560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11051640643567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777893977 + ... + 777908183.

It is an arithmetic number, because the mean of its divisors is an integer number (141698160000).

Almost surely, 2^{11051640643560} is an apocalyptic number.

11051640643560 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 11051640643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137364480000).

11051640643560 is an abundant number, since it is smaller than the sum of its proper divisors (25223088316440).

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

11051640643560 is a wasteful number, since it uses less digits than its factorization.

11051640643560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15912 (or 15908 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 11051640643560 in words is "eleven trillion, fifty-one billion, six hundred forty million, six hundred forty-three thousand, five hundred sixty".