220218474215520 has 768 divisors, whose sum is σ = 878816902440960. Its totient is φ = 50982233702400.

The previous prime is 220218474215507. The next prime is 220218474215521. The reversal of 220218474215520 is 25512474812022.

220218474215520 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 1 + 8 + 4 + 74 + 21 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220218474215521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 674193040 + ... + 674519600.

It is an arithmetic number, because the mean of its divisors is an integer number (1144292841720).

Almost surely, 2^{220218474215520} is an apocalyptic number.

220218474215520 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 220218474215520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439408451220480).

220218474215520 is an abundant number, since it is smaller than the sum of its proper divisors (658598428225440).

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

220218474215520 is a wasteful number, since it uses less digits than its factorization.

220218474215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327236 (or 327222 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 220218474215520 in words is "two hundred twenty trillion, two hundred eighteen billion, four hundred seventy-four million, two hundred fifteen thousand, five hundred twenty".