21818232342720 has 560 divisors, whose sum is σ = 84689304327936. Its totient is φ = 5287866624000.

The previous prime is 21818232342677. The next prime is 21818232342727. The reversal of 21818232342720 is 2724323281812.

21818232342720 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 8 + 232 + 342 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21818232342727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1428728685 + ... + 1428743955.

Almost surely, 2^{21818232342720} is an apocalyptic number.

21818232342720 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 21818232342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42344652163968).

21818232342720 is an abundant number, since it is smaller than the sum of its proper divisors (62871071985216).

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

21818232342720 is a wasteful number, since it uses less digits than its factorization.

21818232342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20322 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 21818232342720 in words is "twenty-one trillion, eight hundred eighteen billion, two hundred thirty-two million, three hundred forty-two thousand, seven hundred twenty".