21600683274240 has 1248 divisors, whose sum is σ = 87869839749120. Its totient is φ = 4806367248384.

The previous prime is 21600683274239. The next prime is 21600683274241. The reversal of 21600683274240 is 4247238600612.

It is a happy number.

21600683274240 is a `hidden beast` number, since 2 + 1 + 60 + 0 + 6 + 83 + 274 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (21600683274239) and next prime (21600683274241).

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 (21600683274241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7440812629 + ... + 7440815531.

It is an arithmetic number, because the mean of its divisors is an integer number (70408525440).

Almost surely, 2^{21600683274240} is an apocalyptic number.

21600683274240 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 21600683274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43934919874560).

21600683274240 is an abundant number, since it is smaller than the sum of its proper divisors (66269156474880).

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

21600683274240 is a wasteful number, since it uses less digits than its factorization.

21600683274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 21600683274240 in words is "twenty-one trillion, six hundred billion, six hundred eighty-three million, two hundred seventy-four thousand, two hundred forty".