11820420288 has 112 divisors (see below), whose sum is σ = 35489448960. Its totient is φ = 3856280832.

The previous prime is 11820420233. The next prime is 11820420289. The reversal of 11820420288 is 88202402811.

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

It is not an unprimeable number, because it can be changed into a prime (11820420289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8445 + ... + 153987.

It is an arithmetic number, because the mean of its divisors is an integer number (316870080).

Almost surely, 2^11820420288 is an apocalyptic number.

11820420288 is a gapful number since it is divisible by the number (18) 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 11820420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744724480).

11820420288 is an abundant number, since it is smaller than the sum of its proper divisors (23669028672).

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

11820420288 is a wasteful number, since it uses less digits than its factorization.

11820420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145611 (or 145595 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 11820420288 in words is "eleven billion, eight hundred twenty million, four hundred twenty thousand, two hundred eighty-eight".