21959956080 has 360 divisors, whose sum is σ = 77989901184. Its totient is φ = 5530291200.

The previous prime is 21959956043. The next prime is 21959956087. The reversal of 21959956080 is 8065995912.

21959956080 is a `hidden beast` number, since 21 + 9 + 5 + 9 + 9 + 5 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21959956087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172912977 + ... + 172913103.

Almost surely, 2^21959956080 is an apocalyptic number.

21959956080 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 21959956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38994950592).

21959956080 is an abundant number, since it is smaller than the sum of its proper divisors (56029945104).

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

21959956080 is a wasteful number, since it uses less digits than its factorization.

21959956080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 21959956080 in words is "twenty-one billion, nine hundred fifty-nine million, nine hundred fifty-six thousand, eighty".