11217289860 has 480 divisors, whose sum is σ = 43978733568. Its totient is φ = 2334044160.

The previous prime is 11217289841. The next prime is 11217289927. The reversal of 11217289860 is 6898271211.

It is a super-3 number, since 3×11217289860³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 5975242 + ... + 5977118.

Almost surely, 2^11217289860 is an apocalyptic number.

11217289860 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 11217289860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989366784).

11217289860 is an abundant number, since it is smaller than the sum of its proper divisors (32761443708).

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

11217289860 is a wasteful number, since it uses less digits than its factorization.

11217289860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11217289860 in words is "eleven billion, two hundred seventeen million, two hundred eighty-nine thousand, eight hundred sixty".