220534778933560 has 512 divisors, whose sum is σ = 642596874393600. Its totient is φ = 66268566650880.

The previous prime is 220534778933479. The next prime is 220534778933561. The reversal of 220534778933560 is 65339877435022.

It is a junction number, because it is equal to n+sod(n) for n = 220534778933492 and 220534778933501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220534778933561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 829790776 + ... + 830056504.

It is an arithmetic number, because the mean of its divisors is an integer number (1255072020300).

Almost surely, 2^{220534778933560} is an apocalyptic number.

220534778933560 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 220534778933560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321298437196800).

220534778933560 is an abundant number, since it is smaller than the sum of its proper divisors (422062095460040).

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

220534778933560 is a wasteful number, since it uses less digits than its factorization.

220534778933560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265951 (or 265947 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 64.

The spelling of 220534778933560 in words is "two hundred twenty trillion, five hundred thirty-four billion, seven hundred seventy-eight million, nine hundred thirty-three thousand, five hundred sixty".