21966291600 has 480 divisors, whose sum is σ = 82050641280. Its totient is φ = 5005721600.

The previous prime is 21966291577. The next prime is 21966291637. The reversal of 21966291600 is 619266912.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27151996 + ... + 27152804.

It is an arithmetic number, because the mean of its divisors is an integer number (170938836).

Almost surely, 2^21966291600 is an apocalyptic number.

21966291600 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 21966291600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41025320640).

21966291600 is an abundant number, since it is smaller than the sum of its proper divisors (60084349680).

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

21966291600 is a wasteful number, since it uses less digits than its factorization.

21966291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 21966291600 in words is "twenty-one billion, nine hundred sixty-six million, two hundred ninety-one thousand, six hundred".