219932008720 has 80 divisors (see below), whose sum is σ = 538376256000. Its totient is φ = 83323828224.

The previous prime is 219932008717. The next prime is 219932008721. The reversal of 219932008720 is 27800239912.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×219932008720² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (219932008721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8010376 + ... + 8037784.

It is an arithmetic number, because the mean of its divisors is an integer number (6729703200).

Almost surely, 2^219932008720 is an apocalyptic number.

219932008720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219932008720 is an abundant number, since it is smaller than the sum of its proper divisors (318444247280).

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

219932008720 is a wasteful number, since it uses less digits than its factorization.

219932008720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32720 (or 32714 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 219932008720 in words is "two hundred nineteen billion, nine hundred thirty-two million, eight thousand, seven hundred twenty".