11204424873600 has 384 divisors, whose sum is σ = 43631031542400. Its totient is φ = 2472700231680.

The previous prime is 11204424873599. The next prime is 11204424873623. The reversal of 11204424873600 is 637842440211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925899 + ... + 4823498.

It is an arithmetic number, because the mean of its divisors is an integer number (113622477975).

Almost surely, 2^{11204424873600} is an apocalyptic number.

11204424873600 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 11204424873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21815515771200).

11204424873600 is an abundant number, since it is smaller than the sum of its proper divisors (32426606668800).

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

11204424873600 is a wasteful number, since it uses less digits than its factorization.

11204424873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749460 (or 5749443 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 11204424873600 in words is "eleven trillion, two hundred four billion, four hundred twenty-four million, eight hundred seventy-three thousand, six hundred".