21008210496 has 224 divisors, whose sum is σ = 72436573440. Its totient is φ = 5214633984.

The previous prime is 21008210467. The next prime is 21008210507. The reversal of 21008210496 is 69401280012.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261660 + ... + 332388.

It is an arithmetic number, because the mean of its divisors is an integer number (323377560).

Almost surely, 2^21008210496 is an apocalyptic number.

21008210496 is a gapful number since it is divisible by the number (26) 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 21008210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36218286720).

21008210496 is an abundant number, since it is smaller than the sum of its proper divisors (51428362944).

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

21008210496 is a wasteful number, since it uses less digits than its factorization.

21008210496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70781 (or 70771 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 21008210496 in words is "twenty-one billion, eight million, two hundred ten thousand, four hundred ninety-six".