21688095600 has 240 divisors, whose sum is σ = 78253845600. Its totient is φ = 5704058880.

The previous prime is 21688095523. The next prime is 21688095601. The reversal of 21688095600 is 659088612.

21688095600 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 80 + 9 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21688095601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774646 + ... + 802154.

It is an arithmetic number, because the mean of its divisors is an integer number (326057690).

Almost surely, 2^21688095600 is an apocalyptic number.

21688095600 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 21688095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39126922800).

21688095600 is an abundant number, since it is smaller than the sum of its proper divisors (56565750000).

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

21688095600 is a wasteful number, since it uses less digits than its factorization.

21688095600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27609 (or 27592 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21688095600 in words is "twenty-one billion, six hundred eighty-eight million, ninety-five thousand, six hundred".