11223960929280 has 2640 divisors, whose sum is σ = 47816510353920. Its totient is φ = 2506209361920.

The previous prime is 11223960929249. The next prime is 11223960929287. The reversal of 11223960929280 is 8292906932211.

11223960929280 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 9 + 609 + 2 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×11223960929280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11223960929287) 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 239 ways as a sum of consecutive naturals, for example, 50331663249 + ... + 50331663471.

It is an arithmetic number, because the mean of its divisors is an integer number (18112314528).

Almost surely, 2^{11223960929280} is an apocalyptic number.

11223960929280 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 11223960929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23908255176960).

11223960929280 is an abundant number, since it is smaller than the sum of its proper divisors (36592549424640).

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

11223960929280 is a wasteful number, since it uses less digits than its factorization.

11223960929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11223960929280 in words is "eleven trillion, two hundred twenty-three billion, nine hundred sixty million, nine hundred twenty-nine thousand, two hundred eighty".