11217607968600 has 1536 divisors, whose sum is σ = 45487374336000. Its totient is φ = 2512145664000.

The previous prime is 11217607968571. The next prime is 11217607968613. The reversal of 11217607968600 is 686970671211.

11217607968600 is a `hidden beast` number, since 1 + 1 + 21 + 7 + 6 + 0 + 7 + 9 + 6 + 8 + 600 = 666.

11217607968600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8743263559 + ... + 8743264841.

It is an arithmetic number, because the mean of its divisors is an integer number (29614176000).

Almost surely, 2^{11217607968600} is an apocalyptic number.

11217607968600 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 11217607968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22743687168000).

11217607968600 is an abundant number, since it is smaller than the sum of its proper divisors (34269766367400).

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

11217607968600 is a wasteful number, since it uses less digits than its factorization.

11217607968600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11217607968600 in words is "eleven trillion, two hundred seventeen billion, six hundred seven million, nine hundred sixty-eight thousand, six hundred".