219955227122880 has 896 divisors, whose sum is σ = 797733445017600. Its totient is φ = 57029875089408.

The previous prime is 219955227122821. The next prime is 219955227122887. The reversal of 219955227122880 is 88221722559912.

219955227122880 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 5 + 522 + 7 + 1 + 2 + 28 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (219955227122887) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 38636081314 + ... + 38636087006.

It is an arithmetic number, because the mean of its divisors is an integer number (890327505600).

Almost surely, 2^{219955227122880} is an apocalyptic number.

219955227122880 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 219955227122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398866722508800).

219955227122880 is an abundant number, since it is smaller than the sum of its proper divisors (577778217894720).

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

219955227122880 is a wasteful number, since it uses less digits than its factorization.

219955227122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 219955227122880 in words is "two hundred nineteen trillion, nine hundred fifty-five billion, two hundred twenty-seven million, one hundred twenty-two thousand, eight hundred eighty".