219880581120 has 144 divisors (see below), whose sum is σ = 762066903780. Its totient is φ = 58634797056.

The previous prime is 219880581119. The next prime is 219880581191. The reversal of 219880581120 is 21185088912.

219880581120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 219203748864 + 676832256 = 468192^2 + 26016^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100769 + ... + 1285088.

Almost surely, 2^219880581120 is an apocalyptic number.

219880581120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219880581120 is an abundant number, since it is smaller than the sum of its proper divisors (542186322660).

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

219880581120 is a wasteful number, since it uses less digits than its factorization.

219880581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385890 (or 2385867 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 219880581120 in words is "two hundred nineteen billion, eight hundred eighty million, five hundred eighty-one thousand, one hundred twenty".