11221762560 has 640 divisors, whose sum is σ = 41110654464. Its totient is φ = 2595225600.

The previous prime is 11221762549. The next prime is 11221762603. The reversal of 11221762560 is 6526712211.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 111106510 + ... + 111106610.

Almost surely, 2^11221762560 is an apocalyptic number.

11221762560 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 11221762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20555327232).

11221762560 is an abundant number, since it is smaller than the sum of its proper divisors (29888891904).

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

11221762560 is a wasteful number, since it uses less digits than its factorization.

11221762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11221762560 in words is "eleven billion, two hundred twenty-one million, seven hundred sixty-two thousand, five hundred sixty".