11227764240 has 1440 divisors, whose sum is σ = 54289025280. Its totient is φ = 2080235520.

The previous prime is 11227764217. The next prime is 11227764241. The reversal of 11227764240 is 4246772211.

11227764240 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 7 + 642 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11227764195 and 11227764204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11227764241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 590934951 + ... + 590934969.

It is an arithmetic number, because the mean of its divisors is an integer number (37700712).

Almost surely, 2^11227764240 is an apocalyptic number.

11227764240 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 11227764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27144512640).

11227764240 is an abundant number, since it is smaller than the sum of its proper divisors (43061261040).

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

11227764240 is a wasteful number, since it uses less digits than its factorization.

11227764240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 11227764240 in words is "eleven billion, two hundred twenty-seven million, seven hundred sixty-four thousand, two hundred forty".