220667788857600 has 6480 divisors, whose sum is σ = 1058361207214080. Its totient is φ = 45166889779200.

The previous prime is 220667788857599. The next prime is 220667788857661. The reversal of 220667788857600 is 6758887766022.

220667788857600 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 5131809043179 + ... + 5131809043221.

Almost surely, 2^{220667788857600} is an apocalyptic number.

220667788857600 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 220667788857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529180603607040).

220667788857600 is an abundant number, since it is smaller than the sum of its proper divisors (837693418356480).

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

220667788857600 is an frugal number, since it uses more digits than its factorization.

220667788857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 220667788857600 in words is "two hundred twenty trillion, six hundred sixty-seven billion, seven hundred eighty-eight million, eight hundred fifty-seven thousand, six hundred".