21830050368000 has 1920 divisors, whose sum is σ = 94225351334400. Its totient is φ = 4967682048000.

The previous prime is 21830050367959. The next prime is 21830050368017. The reversal of 21830050368000 is 86305003812.

21830050368000 is a `hidden beast` number, since 218 + 30 + 0 + 50 + 368 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×21830050368000³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26332991586 + ... + 26332992414.

It is an arithmetic number, because the mean of its divisors is an integer number (49075703820).

Almost surely, 2^{21830050368000} is an apocalyptic number.

21830050368000 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 21830050368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47112675667200).

21830050368000 is an abundant number, since it is smaller than the sum of its proper divisors (72395300966400).

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

21830050368000 is an equidigital number, since it uses as much as digits as its factorization.

21830050368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21830050368000 in words is "twenty-one trillion, eight hundred thirty billion, fifty million, three hundred sixty-eight thousand".