21948919200 has 432 divisors, whose sum is σ = 83699002296. Its totient is φ = 5380300800.

The previous prime is 21948919177. The next prime is 21948919211. The reversal of 21948919200 is 291984912.

It can be written as a sum of positive squares in 12 ways, for example, as 5900083344 + 16048835856 = 76812^2 + 126684^2 .

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 71 ways as a sum of consecutive naturals, for example, 39405322 + ... + 39405878.

Almost surely, 2^21948919200 is an apocalyptic number.

21948919200 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 21948919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41849501148).

21948919200 is an abundant number, since it is smaller than the sum of its proper divisors (61750083096).

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

21948919200 is a wasteful number, since it uses less digits than its factorization.

21948919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 21948919200 in words is "twenty-one billion, nine hundred forty-eight million, nine hundred nineteen thousand, two hundred".