22098679200 has 720 divisors, whose sum is σ = 89260146360. Its totient is φ = 5285191680.

The previous prime is 22098679199. The next prime is 22098679223. The reversal of 22098679200 is 297689022.

It can be written as a sum of positive squares in 12 ways, for example, as 131882256 + 21966796944 = 11484^2 + 148212^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31168446 + ... + 31169154.

Almost surely, 2^22098679200 is an apocalyptic number.

22098679200 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 22098679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44630073180).

22098679200 is an abundant number, since it is smaller than the sum of its proper divisors (67161467160).

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

22098679200 is a wasteful number, since it uses less digits than its factorization.

22098679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 22098679200 in words is "twenty-two billion, ninety-eight million, six hundred seventy-nine thousand, two hundred".