11416204800 has 1800 divisors, whose sum is σ = 57160018608. Its totient is φ = 2189721600.

The previous prime is 11416204799. The next prime is 11416204819. The reversal of 11416204800 is 840261411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 878169594 + ... + 878169606.

Almost surely, 2^11416204800 is an apocalyptic number.

11416204800 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 11416204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28580009304).

11416204800 is an abundant number, since it is smaller than the sum of its proper divisors (45743813808).

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

11416204800 is a wasteful number, since it uses less digits than its factorization.

11416204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 11416204800 in words is "eleven billion, four hundred sixteen million, two hundred four thousand, eight hundred".