21829307968080 has 240 divisors, whose sum is σ = 76023479610000. Its totient is φ = 5606675472384.

The previous prime is 21829307968063. The next prime is 21829307968099. The reversal of 21829307968080 is 8086970392812.

21829307968080 is a `hidden beast` number, since 218 + 29 + 307 + 96 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12524295744 + 21816783672336 = 111912^2 + 4670844^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21829307967999 and 21829307968017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7261846 + ... + 9817994.

It is an arithmetic number, because the mean of its divisors is an integer number (316764498375).

Almost surely, 2^{21829307968080} is an apocalyptic number.

21829307968080 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 21829307968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38011739805000).

21829307968080 is an abundant number, since it is smaller than the sum of its proper divisors (54194171641920).

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

21829307968080 is a wasteful number, since it uses less digits than its factorization.

21829307968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556606 (or 2556597 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 21829307968080 in words is "twenty-one trillion, eight hundred twenty-nine billion, three hundred seven million, nine hundred sixty-eight thousand, eighty".