21330351540630 has 288 divisors, whose sum is σ = 63201872916000. Its totient is φ = 4981531484160.

The previous prime is 21330351540569. The next prime is 21330351540637. The reversal of 21330351540630 is 3604515303312.

21330351540630 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 3 + 5 + 15 + 4 + 0 + 630 = 666.

It is a super-2 number, since 2×21330351540630² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330351540637) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141723477 + ... + 141873903.

It is an arithmetic number, because the mean of its divisors is an integer number (219450947625).

Almost surely, 2^{21330351540630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330351540630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600936458000).

21330351540630 is an abundant number, since it is smaller than the sum of its proper divisors (41871521375370).

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

21330351540630 is a wasteful number, since it uses less digits than its factorization.

21330351540630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150940 (or 150926 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 21330351540630 its reverse (3604515303312), we get a palindrome (24934866843942).

The spelling of 21330351540630 in words is "twenty-one trillion, three hundred thirty billion, three hundred fifty-one million, five hundred forty thousand, six hundred thirty".