219799964087040 has 288 divisors, whose sum is σ = 721140260008896. Its totient is φ = 57014820864000.

The previous prime is 219799964087027. The next prime is 219799964087057. The reversal of 219799964087040 is 40780469997912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569974290 + ... + 570359790.

It is an arithmetic number, because the mean of its divisors is an integer number (2503959236142).

Almost surely, 2^{219799964087040} is an apocalyptic number.

219799964087040 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 219799964087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360570130004448).

219799964087040 is an abundant number, since it is smaller than the sum of its proper divisors (501340295921856).

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

219799964087040 is a wasteful number, since it uses less digits than its factorization.

219799964087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389575 (or 389561 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 75.

The spelling of 219799964087040 in words is "two hundred nineteen trillion, seven hundred ninety-nine billion, nine hundred sixty-four million, eighty-seven thousand, forty".