220537824378240 has 1024 divisors, whose sum is σ = 775457815265280. Its totient is φ = 53070092697600.

The previous prime is 220537824378203. The next prime is 220537824378337. The reversal of 220537824378240 is 42873428735022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55931477709 + ... + 55931481651.

It is an arithmetic number, because the mean of its divisors is an integer number (757283022720).

Almost surely, 2^{220537824378240} is an apocalyptic number.

220537824378240 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 220537824378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387728907632640).

220537824378240 is an abundant number, since it is smaller than the sum of its proper divisors (554919990887040).

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

220537824378240 is a wasteful number, since it uses less digits than its factorization.

220537824378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 57.

The spelling of 220537824378240 in words is "two hundred twenty trillion, five hundred thirty-seven billion, eight hundred twenty-four million, three hundred seventy-eight thousand, two hundred forty".