11220664320 has 600 divisors, whose sum is σ = 42819915600. Its totient is φ = 2802843648.

The previous prime is 11220664319. The next prime is 11220664321. The reversal of 11220664320 is 2346602211.

11220664320 is a `hidden beast` number, since 1 + 1 + 220 + 6 + 6 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11220664319) and next prime (11220664321).

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 (11220664321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126074836 + ... + 126074924.

It is an arithmetic number, because the mean of its divisors is an integer number (71366526).

Almost surely, 2^11220664320 is an apocalyptic number.

11220664320 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 11220664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409957800).

11220664320 is an abundant number, since it is smaller than the sum of its proper divisors (31599251280).

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

11220664320 is an frugal number, since it uses more digits than its factorization.

11220664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 11220664320 in words is "eleven billion, two hundred twenty million, six hundred sixty-four thousand, three hundred twenty".