21980343168 has 768 divisors, whose sum is σ = 80372736000. Its totient is φ = 5887365120.

The previous prime is 21980343109. The next prime is 21980343181. The reversal of 21980343168 is 86134308912.

21980343168 is a `hidden beast` number, since 219 + 80 + 343 + 16 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278232153 + ... + 278232231.

It is an arithmetic number, because the mean of its divisors is an integer number (104652000).

Almost surely, 2^21980343168 is an apocalyptic number.

21980343168 is a gapful number since it is divisible by the number (28) 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 21980343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40186368000).

21980343168 is an abundant number, since it is smaller than the sum of its proper divisors (58392392832).

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

21980343168 is a wasteful number, since it uses less digits than its factorization.

21980343168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 21980343168 in words is "twenty-one billion, nine hundred eighty million, three hundred forty-three thousand, one hundred sixty-eight".