21879941760000 has 495 divisors, whose sum is σ = 78987577338241. Its totient is φ = 5831657472000.

The previous prime is 21879941759981. The next prime is 21879941760007. The reversal of 21879941760000 is 6714997812.

The square root of 21879941760000 is 4677600.

It is a perfect power (a square), and thus also a powerful number.

21879941760000 is a `hidden beast` number, since 2 + 1 + 87 + 99 + 417 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9965184205824 + 11914757554176 = 3156768^2 + 3451776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21879941760007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11226239026 + ... + 11226240974.

Almost surely, 2^{21879941760000} is an apocalyptic number.

21879941760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21879941760000 is the 4677600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21879941760000

21879941760000 is an abundant number, since it is smaller than the sum of its proper divisors (57107635578241).

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

21879941760000 is an frugal number, since it uses more digits than its factorization.

21879941760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 21879941760000 in words is "twenty-one trillion, eight hundred seventy-nine billion, nine hundred forty-one million, seven hundred sixty thousand".