21337638210 has 192 divisors, whose sum is σ = 68894392320. Its totient is φ = 4471355520.

The previous prime is 21337638209. The next prime is 21337638221. The reversal of 21337638210 is 1283673312.

21337638210 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 638 + 2 + 10 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 342319 + ... + 399821.

It is an arithmetic number, because the mean of its divisors is an integer number (358824960).

Almost surely, 2^21337638210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21337638210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34447196160).

21337638210 is an abundant number, since it is smaller than the sum of its proper divisors (47556754110).

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

21337638210 is a wasteful number, since it uses less digits than its factorization.

21337638210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57573 (or 57570 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 21337638210 in words is "twenty-one billion, three hundred thirty-seven million, six hundred thirty-eight thousand, two hundred ten".