219290131872 has 384 divisors, whose sum is σ = 775031040000. Its totient is φ = 58925408256.

The previous prime is 219290131867. The next prime is 219290131919. The reversal of 219290131872 is 278131092912.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15965904 + ... + 15979632.

It is an arithmetic number, because the mean of its divisors is an integer number (2018310000).

Almost surely, 2^219290131872 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 219290131872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387515520000).

219290131872 is an abundant number, since it is smaller than the sum of its proper divisors (555740908128).

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

219290131872 is a wasteful number, since it uses less digits than its factorization.

219290131872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13913 (or 13899 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 219290131872 in words is "two hundred nineteen billion, two hundred ninety million, one hundred thirty-one thousand, eight hundred seventy-two".