219956899680 has 480 divisors, whose sum is σ = 905283086400. Its totient is φ = 50274846720.

The previous prime is 219956899639. The next prime is 219956899681. The reversal of 219956899680 is 86998659912.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 219956899599 and 219956899608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219956899681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4420540 + ... + 4470020.

It is an arithmetic number, because the mean of its divisors is an integer number (1886006430).

Almost surely, 2^219956899680 is an apocalyptic number.

219956899680 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 219956899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452641543200).

219956899680 is an abundant number, since it is smaller than the sum of its proper divisors (685326186720).

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

219956899680 is an equidigital number, since it uses as much as digits as its factorization.

219956899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49529 (or 49498 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 219956899680 in words is "two hundred nineteen billion, nine hundred fifty-six million, eight hundred ninety-nine thousand, six hundred eighty".