21795840000 has 840 divisors, whose sum is σ = 87825724272. Its totient is φ = 5160960000.

The previous prime is 21795839999. The next prime is 21795840007. The reversal of 21795840000 is 4859712.

21795840000 is a `hidden beast` number, since 2 + 1 + 79 + 584 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21795840007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 506879979 + ... + 506880021.

Almost surely, 2^21795840000 is an apocalyptic number.

21795840000 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 21795840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43912862136).

21795840000 is an abundant number, since it is smaller than the sum of its proper divisors (66029884272).

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

21795840000 is an equidigital number, since it uses as much as digits as its factorization.

21795840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 21795840000 in words is "twenty-one billion, seven hundred ninety-five million, eight hundred forty thousand".