11545804800 has 612 divisors, whose sum is σ = 44370154920. Its totient is φ = 2972712960.

The previous prime is 11545804793. The next prime is 11545804801. The reversal of 11545804800 is 840854511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11545804801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 398131186 + ... + 398131214.

Almost surely, 2^11545804800 is an apocalyptic number.

11545804800 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 11545804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22185077460).

11545804800 is an abundant number, since it is smaller than the sum of its proper divisors (32824350120).

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

11545804800 is an frugal number, since it uses more digits than its factorization.

11545804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 11545804800 in words is "eleven billion, five hundred forty-five million, eight hundred four thousand, eight hundred".