11411237668560 has 640 divisors, whose sum is σ = 38692380672000. Its totient is φ = 2772109910016.

The previous prime is 11411237668559. The next prime is 11411237668627. The reversal of 11411237668560 is 6586673211411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13222754689 + ... + 13222755551.

It is an arithmetic number, because the mean of its divisors is an integer number (60456844800).

Almost surely, 2^{11411237668560} is an apocalyptic number.

11411237668560 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 11411237668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346190336000).

11411237668560 is an abundant number, since it is smaller than the sum of its proper divisors (27281143003440).

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

11411237668560 is a wasteful number, since it uses less digits than its factorization.

11411237668560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 11411237668560 in words is "eleven trillion, four hundred eleven billion, two hundred thirty-seven million, six hundred sixty-eight thousand, five hundred sixty".