11018961806400 has 252 divisors, whose sum is σ = 39302395158832. Its totient is φ = 2928005729280.

The previous prime is 11018961806399. The next prime is 11018961806401. The reversal of 11018961806400 is 460816981011.

It is a happy number.

11018961806400 is a `hidden beast` number, since 1 + 1 + 0 + 189 + 61 + 8 + 0 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (11018961806399) and next prime (11018961806401).

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

It is not an unprimeable number, because it can be changed into a prime (11018961806401) 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 35 ways as a sum of consecutive naturals, for example, 2723247 + ... + 5427153.

Almost surely, 2^{11018961806400} is an apocalyptic number.

11018961806400 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 11018961806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651197579416).

11018961806400 is an abundant number, since it is smaller than the sum of its proper divisors (28283433352432).

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

11018961806400 is a wasteful number, since it uses less digits than its factorization.

11018961806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704218 (or 2704200 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11018961806400 in words is "eleven trillion, eighteen billion, nine hundred sixty-one million, eight hundred six thousand, four hundred".