219999888900000 has 2592 divisors, whose sum is σ = 895486015726848. Its totient is φ = 51150528000000.

The previous prime is 219999888899929. The next prime is 219999888900023. The reversal of 219999888900000 is 9888999912.

It is a super-2 number, since 2×219999888900000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 219999888899892 and 219999888899901.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 271269899595 + ... + 271269900405.

It is an arithmetic number, because the mean of its divisors is an integer number (345480715944).

Almost surely, 2^{219999888900000} is an apocalyptic number.

219999888900000 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 219999888900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447743007863424).

219999888900000 is an abundant number, since it is smaller than the sum of its proper divisors (675486126826848).

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

219999888900000 is a wasteful number, since it uses less digits than its factorization.

219999888900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 72.

The spelling of 219999888900000 in words is "two hundred nineteen trillion, nine hundred ninety-nine billion, eight hundred eighty-eight million, nine hundred thousand".