21059850240 has 1248 divisors, whose sum is σ = 92737322496. Its totient is φ = 4341104640.

The previous prime is 21059850187. The next prime is 21059850247. The reversal of 21059850240 is 4205895012.

21059850240 is a `hidden beast` number, since 2 + 10 + 598 + 50 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a junction number, because it is equal to n+sod(n) for n = 21059850195 and 21059850204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21059850247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448081897 + ... + 448081943.

It is an arithmetic number, because the mean of its divisors is an integer number (74308752).

Almost surely, 2^21059850240 is an apocalyptic number.

21059850240 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 21059850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368661248).

21059850240 is an abundant number, since it is smaller than the sum of its proper divisors (71677472256).

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

21059850240 is a wasteful number, since it uses less digits than its factorization.

21059850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 21059850240 in words is "twenty-one billion, fifty-nine million, eight hundred fifty thousand, two hundred forty".