21213634546500 has 192 divisors, whose sum is σ = 67401736706304. Its totient is φ = 5141798400000.

The previous prime is 21213634546499. The next prime is 21213634546523. The reversal of 21213634546500 is 564543631212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96596820 + ... + 96816180.

It is an arithmetic number, because the mean of its divisors is an integer number (351050712012).

Almost surely, 2^{21213634546500} is an apocalyptic number.

21213634546500 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 21213634546500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33700868353152).

21213634546500 is an abundant number, since it is smaller than the sum of its proper divisors (46188102159804).

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

21213634546500 is a wasteful number, since it uses less digits than its factorization.

21213634546500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225255 (or 225243 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 21213634546500 in words is "twenty-one trillion, two hundred thirteen billion, six hundred thirty-four million, five hundred forty-six thousand, five hundred".