21795340800 has 240 divisors, whose sum is σ = 75791532960. Its totient is φ = 5506007040.

The previous prime is 21795340771. The next prime is 21795340829. The reversal of 21795340800 is 804359712.

It is an interprime number because it is at equal distance from previous prime (21795340771) and next prime (21795340829).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714664 + ... + 744536.

It is an arithmetic number, because the mean of its divisors is an integer number (315798054).

Almost surely, 2^21795340800 is an apocalyptic number.

21795340800 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 21795340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37895766480).

21795340800 is an abundant number, since it is smaller than the sum of its proper divisors (53996192160).

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

21795340800 is a wasteful number, since it uses less digits than its factorization.

21795340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29923 (or 29902 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 21795340800 in words is "twenty-one billion, seven hundred ninety-five million, three hundred forty thousand, eight hundred".