11320108800 has 1728 divisors, whose sum is σ = 54503178240. Its totient is φ = 1990656000.

The previous prime is 11320108783. The next prime is 11320108829. The reversal of 11320108800 is 880102311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365164785 + ... + 365164815.

Almost surely, 2^11320108800 is an apocalyptic number.

11320108800 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 11320108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27251589120).

11320108800 is an abundant number, since it is smaller than the sum of its proper divisors (43183069440).

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

11320108800 is a wasteful number, since it uses less digits than its factorization.

11320108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 11320108800 in words is "eleven billion, three hundred twenty million, one hundred eight thousand, eight hundred".