11217317472900 has 864 divisors, whose sum is σ = 45638310961152. Its totient is φ = 2321702092800.

The previous prime is 11217317472899. The next prime is 11217317472929. The reversal of 11217317472900 is 927471371211.

11217317472900 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 7 + 317 + 47 + 290 + 0 = 666.

It is a super-2 number, since 2×11217317472900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 480861037 + ... + 480884363.

It is an arithmetic number, because the mean of its divisors is an integer number (52822119168).

Almost surely, 2^{11217317472900} is an apocalyptic number.

11217317472900 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 11217317472900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819155480576).

11217317472900 is an abundant number, since it is smaller than the sum of its proper divisors (34420993488252).

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

11217317472900 is a wasteful number, since it uses less digits than its factorization.

11217317472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23631 (or 23612 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 11217317472900 in words is "eleven trillion, two hundred seventeen billion, three hundred seventeen million, four hundred seventy-two thousand, nine hundred".