11200193308044 has 384 divisors, whose sum is σ = 32725028044800. Its totient is φ = 3289156865280.

The previous prime is 11200193308037. The next prime is 11200193308069. The reversal of 11200193308044 is 44080339100211.

11200193308044 is a `hidden beast` number, since 1 + 1 + 200 + 1 + 9 + 330 + 80 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5525501359 + ... + 5525503385.

It is an arithmetic number, because the mean of its divisors is an integer number (85221427200).

Almost surely, 2^{11200193308044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200193308044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362514022400).

11200193308044 is an abundant number, since it is smaller than the sum of its proper divisors (21524834736756).

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

11200193308044 is a wasteful number, since it uses less digits than its factorization.

11200193308044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11200193308044 in words is "eleven trillion, two hundred billion, one hundred ninety-three million, three hundred eight thousand, forty-four".