221117117760 has 2800 divisors, whose sum is σ = 1115673704640. Its totient is φ = 40967700480.

The previous prime is 221117117737. The next prime is 221117117791. The reversal of 221117117760 is 67711711122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 11637743031 + ... + 11637743049.

Almost surely, 2^221117117760 is an apocalyptic number.

221117117760 is a gapful number since it is divisible by the number (20) 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 221117117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557836852320).

221117117760 is an abundant number, since it is smaller than the sum of its proper divisors (894556586880).

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

221117117760 is a wasteful number, since it uses less digits than its factorization.

221117117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 36.

Adding to 221117117760 its reverse (67711711122), we get a palindrome (288828828882).

The spelling of 221117117760 in words is "two hundred twenty-one billion, one hundred seventeen million, one hundred seventeen thousand, seven hundred sixty".