11006635236400 has 240 divisors, whose sum is σ = 27047900073600. Its totient is φ = 4302950400000.

The previous prime is 11006635236301. The next prime is 11006635236427. The reversal of 11006635236400 is 463253660011.

It is a super-2 number, since 2×11006635236400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006635236400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4093206256 + ... + 4093208944.

It is an arithmetic number, because the mean of its divisors is an integer number (112699583640).

Almost surely, 2^{11006635236400} is an apocalyptic number.

11006635236400 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 11006635236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523950036800).

11006635236400 is an abundant number, since it is smaller than the sum of its proper divisors (16041264837200).

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

11006635236400 is a wasteful number, since it uses less digits than its factorization.

11006635236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 11006635236400 its reverse (463253660011), we get a palindrome (11469888896411).

The spelling of 11006635236400 in words is "eleven trillion, six billion, six hundred thirty-five million, two hundred thirty-six thousand, four hundred".