21106442560 has 112 divisors (see below), whose sum is σ = 58085614080. Its totient is φ = 7155118080.

The previous prime is 21106442557. The next prime is 21106442653. The reversal of 21106442560 is 6524460112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146425 + ... + 252295.

Almost surely, 2^21106442560 is an apocalyptic number.

21106442560 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 21106442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29042807040).

21106442560 is an abundant number, since it is smaller than the sum of its proper divisors (36979171520).

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

21106442560 is a wasteful number, since it uses less digits than its factorization.

21106442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105984 (or 105974 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 21106442560 in words is "twenty-one billion, one hundred six million, four hundred forty-two thousand, five hundred sixty".