11808921600 has 648 divisors, whose sum is σ = 49290712380. Its totient is φ = 2694021120.

The previous prime is 11808921589. The next prime is 11808921601. The reversal of 11808921600 is 612980811.

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 (11808921601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22578939 + ... + 22579461.

Almost surely, 2^11808921600 is an apocalyptic number.

11808921600 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 11808921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645356190).

11808921600 is an abundant number, since it is smaller than the sum of its proper divisors (37481790780).

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

11808921600 is a wasteful number, since it uses less digits than its factorization.

11808921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11808921600 in words is "eleven billion, eight hundred eight million, nine hundred twenty-one thousand, six hundred".