220827738960 has 240 divisors, whose sum is σ = 752656701888. Its totient is φ = 58012416000.

The previous prime is 220827738917. The next prime is 220827738997. The reversal of 220827738960 is 69837728022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 220827738897 and 220827738906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57341035 + ... + 57344885.

Almost surely, 2^220827738960 is an apocalyptic number.

220827738960 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 220827738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376328350944).

220827738960 is an abundant number, since it is smaller than the sum of its proper divisors (531828962928).

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

220827738960 is a wasteful number, since it uses less digits than its factorization.

220827738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 220827738960 in words is "two hundred twenty billion, eight hundred twenty-seven million, seven hundred thirty-eight thousand, nine hundred sixty".