11217516962400 has 3456 divisors, whose sum is σ = 52664629248000. Its totient is φ = 2286562037760.

The previous prime is 11217516962347. The next prime is 11217516962401. The reversal of 11217516962400 is 426961571211.

11217516962400 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 7 + 5 + 16 + 9 + 624 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11217516962401) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 36539143047 + ... + 36539143353.

It is an arithmetic number, because the mean of its divisors is an integer number (15238608000).

Almost surely, 2^{11217516962400} is an apocalyptic number.

11217516962400 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 11217516962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26332314624000).

11217516962400 is an abundant number, since it is smaller than the sum of its proper divisors (41447112285600).

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

11217516962400 is a wasteful number, since it uses less digits than its factorization.

11217516962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11217516962400 in words is "eleven trillion, two hundred seventeen billion, five hundred sixteen million, nine hundred sixty-two thousand, four hundred".