11573992800 has 432 divisors, whose sum is σ = 43805165040. Its totient is φ = 2978519040.

The previous prime is 11573992757. The next prime is 11573992841. The reversal of 11573992800 is 829937511.

11573992800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5636574 + ... + 5638626.

It is an arithmetic number, because the mean of its divisors is an integer number (101400845).

Almost surely, 2^11573992800 is an apocalyptic number.

11573992800 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 11573992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902582520).

11573992800 is an abundant number, since it is smaller than the sum of its proper divisors (32231172240).

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

11573992800 is a wasteful number, since it uses less digits than its factorization.

11573992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11573992800 in words is "eleven billion, five hundred seventy-three million, nine hundred ninety-two thousand, eight hundred".