11320840800 has 144 divisors (see below), whose sum is σ = 40943785680. Its totient is φ = 3018885120.

The previous prime is 11320840799. The next prime is 11320840801. The reversal of 11320840800 is 804802311.

It is an interprime number because it is at equal distance from previous prime (11320840799) and next prime (11320840801).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11320840800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320840801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240457 + ... + 283656.

It is an arithmetic number, because the mean of its divisors is an integer number (284331845).

Almost surely, 2^11320840800 is an apocalyptic number.

11320840800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320840800 is an abundant number, since it is smaller than the sum of its proper divisors (29622944880).

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

11320840800 is a wasteful number, since it uses less digits than its factorization.

11320840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524142 (or 524123 counting only the distinct ones).

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

The spelling of 11320840800 in words is "eleven billion, three hundred twenty million, eight hundred forty thousand, eight hundred".