220503085488 has 640 divisors, whose sum is σ = 801377280000. Its totient is φ = 56624956416.

The previous prime is 220503085447. The next prime is 220503085489. The reversal of 220503085488 is 884580305022.

220503085488 is a `hidden beast` number, since 2 + 20 + 50 + 30 + 8 + 548 + 8 = 666.

It is a super-2 number, since 2×220503085488² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220503085489) 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, 98306095 + ... + 98308337.

It is an arithmetic number, because the mean of its divisors is an integer number (1252152000).

Almost surely, 2^220503085488 is an apocalyptic number.

220503085488 is a gapful number since it is divisible by the number (28) 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 220503085488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400688640000).

220503085488 is an abundant number, since it is smaller than the sum of its proper divisors (580874194512).

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

220503085488 is a wasteful number, since it uses less digits than its factorization.

220503085488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 220503085488 in words is "two hundred twenty billion, five hundred three million, eighty-five thousand, four hundred eighty-eight".