11056146624400 has 30 divisors (see below), whose sum is σ = 26562392266082. Its totient is φ = 4422458649600.

The previous prime is 11056146624373. The next prime is 11056146624401. The reversal of 11056146624400 is 442664165011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2954768475136 + 8101378149264 = 1718944^2 + 2846292^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11056146624401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13820182881 + ... + 13820183680.

Almost surely, 2^{11056146624400} is an apocalyptic number.

11056146624400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11056146624400 is an abundant number, since it is smaller than the sum of its proper divisors (15506245641682).

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

11056146624400 is a wasteful number, since it uses less digits than its factorization.

11056146624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27640366579 (or 27640366568 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 11056146624400 in words is "eleven trillion, fifty-six billion, one hundred forty-six million, six hundred twenty-four thousand, four hundred".