221775881305140 has 288 divisors, whose sum is σ = 702145782898560. Its totient is φ = 58114353609216.

The previous prime is 221775881305117. The next prime is 221775881305157. The reversal of 221775881305140 is 41503188577122.

221775881305140 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 7 + 588 + 1 + 3 + 0 + 51 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4919257039 + ... + 4919302121.

It is an arithmetic number, because the mean of its divisors is an integer number (2438006190620).

Almost surely, 2^{221775881305140} is an apocalyptic number.

221775881305140 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 221775881305140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351072891449280).

221775881305140 is an abundant number, since it is smaller than the sum of its proper divisors (480369901593420).

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

221775881305140 is a wasteful number, since it uses less digits than its factorization.

221775881305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47836 (or 47769 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 221775881305140 in words is "two hundred twenty-one trillion, seven hundred seventy-five billion, eight hundred eighty-one million, three hundred five thousand, one hundred forty".