11818720320 has 224 divisors, whose sum is σ = 42348424320. Its totient is φ = 2766274560.

The previous prime is 11818720313. The next prime is 11818720327. The reversal of 11818720320 is 2302781811.

It is an interprime number because it is at equal distance from previous prime (11818720313) and next prime (11818720327).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11818720327) 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 31 ways as a sum of consecutive naturals, for example, 286944 + ... + 325536.

Almost surely, 2^11818720320 is an apocalyptic number.

11818720320 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 11818720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21174212160).

11818720320 is an abundant number, since it is smaller than the sum of its proper divisors (30529704000).

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

11818720320 is a wasteful number, since it uses less digits than its factorization.

11818720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38653 (or 38643 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 11818720320 in words is "eleven billion, eight hundred eighteen million, seven hundred twenty thousand, three hundred twenty".