11056311644400 has 1080 divisors, whose sum is σ = 44893946103552. Its totient is φ = 2509123584000.

The previous prime is 11056311644369. The next prime is 11056311644453. The reversal of 11056311644400 is 444611365011.

11056311644400 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 6 + 3 + 1 + 1 + 644 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1414389292 + ... + 1414397108.

Almost surely, 2^{11056311644400} is an apocalyptic number.

11056311644400 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 11056311644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22446973051776).

11056311644400 is an abundant number, since it is smaller than the sum of its proper divisors (33837634459152).

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

11056311644400 is a wasteful number, since it uses less digits than its factorization.

11056311644400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 11056311 and 644400, that added together give a palindrome (11700711).

The spelling of 11056311644400 in words is "eleven trillion, fifty-six billion, three hundred eleven million, six hundred forty-four thousand, four hundred".