11217581760 has 896 divisors, whose sum is σ = 47987712000. Its totient is φ = 2194698240.

The previous prime is 11217581759. The next prime is 11217581761. The reversal of 11217581760 is 6718571211.

11217581760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11217581759) and next prime (11217581761).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11217581761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68819439 + ... + 68819601.

Almost surely, 2^11217581760 is an apocalyptic number.

11217581760 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 11217581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23993856000).

11217581760 is an abundant number, since it is smaller than the sum of its proper divisors (36770130240).

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

11217581760 is a wasteful number, since it uses less digits than its factorization.

11217581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 39.

The spelling of 11217581760 in words is "eleven billion, two hundred seventeen million, five hundred eighty-one thousand, seven hundred sixty".