11116732636800 has 1920 divisors, whose sum is σ = 49112139479040. Its totient is φ = 2421065687040.

The previous prime is 11116732636699. The next prime is 11116732636837. The reversal of 11116732636800 is 863623761111.

11116732636800 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 6 + 7 + 3 + 2 + 636 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 20323094127 + ... + 20323094673.

It is an arithmetic number, because the mean of its divisors is an integer number (25579239312).

Almost surely, 2^{11116732636800} is an apocalyptic number.

11116732636800 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 11116732636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24556069739520).

11116732636800 is an abundant number, since it is smaller than the sum of its proper divisors (37995406842240).

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

11116732636800 is a wasteful number, since it uses less digits than its factorization.

11116732636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 1111673 and 2636800, that added together give a palindrome (3748473).

The spelling of 11116732636800 in words is "eleven trillion, one hundred sixteen billion, seven hundred thirty-two million, six hundred thirty-six thousand, eight hundred".