21834012213360 has 60 divisors (see below), whose sum is σ = 73325891018952. Its totient is φ = 5822403256704.

The previous prime is 21834012213287. The next prime is 21834012213361. The reversal of 21834012213360 is 6331221043812.

21834012213360 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 401 + 2 + 213 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21834012213361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15162507762 + ... + 15162509201.

Almost surely, 2^{21834012213360} is an apocalyptic number.

21834012213360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21834012213360 is an abundant number, since it is smaller than the sum of its proper divisors (51491878805592).

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

21834012213360 is a wasteful number, since it uses less digits than its factorization.

21834012213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30325016982 (or 30325016973 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21834012213360 in words is "twenty-one trillion, eight hundred thirty-four billion, twelve million, two hundred thirteen thousand, three hundred sixty".