218501070480 has 1280 divisors, whose sum is σ = 972223488000. Its totient is φ = 45265651200.

The previous prime is 218501070427. The next prime is 218501070481. The reversal of 218501070480 is 84070105812.

218501070480 is a `hidden beast` number, since 2 + 1 + 8 + 501 + 0 + 70 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218501070481) 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 255 ways as a sum of consecutive naturals, for example, 660123915 + ... + 660124245.

It is an arithmetic number, because the mean of its divisors is an integer number (759549600).

Almost surely, 2^218501070480 is an apocalyptic number.

218501070480 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 218501070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486111744000).

218501070480 is an abundant number, since it is smaller than the sum of its proper divisors (753722417520).

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

218501070480 is an equidigital number, since it uses as much as digits as its factorization.

218501070480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 218501070480 in words is "two hundred eighteen billion, five hundred one million, seventy thousand, four hundred eighty".