220850668080 has 240 divisors, whose sum is σ = 884500531200. Its totient is φ = 48285338112.

The previous prime is 220850668079. The next prime is 220850668099. The reversal of 220850668080 is 80866058022.

220850668080 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 506 + 68 + 0 + 80 = 666.

220850668080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836680 + ... + 1068519.

It is an arithmetic number, because the mean of its divisors is an integer number (3685418880).

Almost surely, 2^220850668080 is an apocalyptic number.

220850668080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220850668080 is an abundant number, since it is smaller than the sum of its proper divisors (663649863120).

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

220850668080 is a wasteful number, since it uses less digits than its factorization.

220850668080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905248 (or 1905239 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 220850668080 in words is "two hundred twenty billion, eight hundred fifty million, six hundred sixty-eight thousand, eighty".