21289195200 has 1344 divisors, whose sum is σ = 94481952768. Its totient is φ = 4069785600.

The previous prime is 21289195159. The next prime is 21289195219. The reversal of 21289195200 is 259198212.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 349003170 + ... + 349003230.

It is an arithmetic number, because the mean of its divisors is an integer number (70299072).

Almost surely, 2^21289195200 is an apocalyptic number.

21289195200 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 21289195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47240976384).

21289195200 is an abundant number, since it is smaller than the sum of its proper divisors (73192757568).

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

21289195200 is a wasteful number, since it uses less digits than its factorization.

21289195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 21289195200 in words is "twenty-one billion, two hundred eighty-nine million, one hundred ninety-five thousand, two hundred".