219500128896 has 128 divisors (see below), whose sum is σ = 618083524800. Its totient is φ = 68780310528.

The previous prime is 219500128891. The next prime is 219500128931. The reversal of 219500128896 is 698821005912.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×219500128896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (219500128891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5548675 + ... + 5588093.

Almost surely, 2^219500128896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219500128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309041762400).

219500128896 is an abundant number, since it is smaller than the sum of its proper divisors (398583395904).

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

219500128896 is a wasteful number, since it uses less digits than its factorization.

219500128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40306 (or 40294 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 219500128896 in words is "two hundred nineteen billion, five hundred million, one hundred twenty-eight thousand, eight hundred ninety-six".