220551611040 has 432 divisors, whose sum is σ = 789797342880. Its totient is φ = 56041159680.

The previous prime is 220551611039. The next prime is 220551611057. The reversal of 220551611040 is 40116155022.

220551611040 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 5 + 1 + 611 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220551610995 and 220551611013.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 319177095 + ... + 319177785.

It is an arithmetic number, because the mean of its divisors is an integer number (1828234590).

Almost surely, 2^220551611040 is an apocalyptic number.

220551611040 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 220551611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394898671440).

220551611040 is an abundant number, since it is smaller than the sum of its proper divisors (569245731840).

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

220551611040 is a wasteful number, since it uses less digits than its factorization.

220551611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 220551611040 its reverse (40116155022), we get a palindrome (260667766062).

The spelling of 220551611040 in words is "two hundred twenty billion, five hundred fifty-one million, six hundred eleven thousand, forty".