21999196800 has 1152 divisors, whose sum is σ = 97667856000. Its totient is φ = 4696473600.

The previous prime is 21999196787. The next prime is 21999196801. The reversal of 21999196800 is 869199912.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (21999196801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 167932735 + ... + 167932865.

It is an arithmetic number, because the mean of its divisors is an integer number (84781125).

Almost surely, 2^21999196800 is an apocalyptic number.

21999196800 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 21999196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48833928000).

21999196800 is an abundant number, since it is smaller than the sum of its proper divisors (75668659200).

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

21999196800 is a wasteful number, since it uses less digits than its factorization.

21999196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 21999196800 in words is "twenty-one billion, nine hundred ninety-nine million, one hundred ninety-six thousand, eight hundred".