220488935546880 has 5376 divisors, whose sum is σ = 1087195080351744. Its totient is φ = 39837751050240.

The previous prime is 220488935546839. The next prime is 220488935546911. The reversal of 220488935546880 is 88645539884022.

220488935546880 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 8 + 8 + 9 + 3 + 554 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 220488935546799 and 220488935546808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 704437493604 + ... + 704437493916.

It is an arithmetic number, because the mean of its divisors is an integer number (202231227744).

Almost surely, 2^{220488935546880} is an apocalyptic number.

220488935546880 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 220488935546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543597540175872).

220488935546880 is an abundant number, since it is smaller than the sum of its proper divisors (866706144804864).

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

220488935546880 is a wasteful number, since it uses less digits than its factorization.

220488935546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 220488935546880 in words is "two hundred twenty trillion, four hundred eighty-eight billion, nine hundred thirty-five million, five hundred forty-six thousand, eight hundred eighty".