11221770240 has 448 divisors, whose sum is σ = 40734691200. Its totient is φ = 2930245632.

The previous prime is 11221770223. The next prime is 11221770277. The reversal of 11221770240 is 4207712211.

It is a happy number.

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

It is an unprimeable number.

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, 80732091 + ... + 80732229.

It is an arithmetic number, because the mean of its divisors is an integer number (90925650).

Almost surely, 2^11221770240 is an apocalyptic number.

11221770240 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 11221770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367345600).

11221770240 is an abundant number, since it is smaller than the sum of its proper divisors (29512920960).

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

11221770240 is an equidigital number, since it uses as much as digits as its factorization.

11221770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 11221770240 in words is "eleven billion, two hundred twenty-one million, seven hundred seventy thousand, two hundred forty".