21834225106500 has 192 divisors, whose sum is σ = 64689989075712. Its totient is φ = 5721124608000.

The previous prime is 21834225106469. The next prime is 21834225106501. The reversal of 21834225106500 is 560152243812.

It is not an unprimeable number, because it can be changed into a prime (21834225106501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89273379 + ... + 89517621.

It is an arithmetic number, because the mean of its divisors is an integer number (336927026436).

Almost surely, 2^{21834225106500} is an apocalyptic number.

21834225106500 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 21834225106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32344994537856).

21834225106500 is an abundant number, since it is smaller than the sum of its proper divisors (42855763969212).

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

21834225106500 is a wasteful number, since it uses less digits than its factorization.

21834225106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245303 (or 245291 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 21834225106500 in words is "twenty-one trillion, eight hundred thirty-four billion, two hundred twenty-five million, one hundred six thousand, five hundred".