219125088000 has 1440 divisors, whose sum is σ = 1004689445760. Its totient is φ = 46183219200.

The previous prime is 219125087957. The next prime is 219125088029. The reversal of 219125088000 is 880521912.

219125088000 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 (1440).

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 235871536 + ... + 235872464.

It is an arithmetic number, because the mean of its divisors is an integer number (697701004).

Almost surely, 2^219125088000 is an apocalyptic number.

219125088000 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 219125088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502344722880).

219125088000 is an abundant number, since it is smaller than the sum of its proper divisors (785564357760).

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

219125088000 is an equidigital number, since it uses as much as digits as its factorization.

219125088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 219125088000 in words is "two hundred nineteen billion, one hundred twenty-five million, eighty-eight thousand".