220248378840 has 256 divisors, whose sum is σ = 781778718720. Its totient is φ = 48595783680.

The previous prime is 220248378809. The next prime is 220248378863. The reversal of 220248378840 is 48873842022.

It is a self number, because there is not a number n which added to its sum of digits gives 220248378840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2843830 + ... + 2920250.

It is an arithmetic number, because the mean of its divisors is an integer number (3053823120).

Almost surely, 2^220248378840 is an apocalyptic number.

220248378840 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 220248378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390889359360).

220248378840 is an abundant number, since it is smaller than the sum of its proper divisors (561530339880).

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

220248378840 is a wasteful number, since it uses less digits than its factorization.

220248378840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76562 (or 76558 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 220248378840 in words is "two hundred twenty billion, two hundred forty-eight million, three hundred seventy-eight thousand, eight hundred forty".