219115253104 has 160 divisors (see below), whose sum is σ = 477657285120. Its totient is φ = 96533606400.

The previous prime is 219115253089. The next prime is 219115253111. The reversal of 219115253104 is 401352511912.

It is a super-2 number, since 2×219115253104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 219115253104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294905757 + ... + 294906499.

It is an arithmetic number, because the mean of its divisors is an integer number (2985358032).

Almost surely, 2^219115253104 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 219115253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238828642560).

219115253104 is an abundant number, since it is smaller than the sum of its proper divisors (258542032016).

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

219115253104 is a wasteful number, since it uses less digits than its factorization.

219115253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 219115253104 in words is "two hundred nineteen billion, one hundred fifteen million, two hundred fifty-three thousand, one hundred four".