22680230791680 has 1600 divisors, whose sum is σ = 107236845188352. Its totient is φ = 4435500072960.

The previous prime is 22680230791649. The next prime is 22680230791681. The reversal of 22680230791680 is 8619703208622.

22680230791680 is a `hidden beast` number, since 2 + 268 + 0 + 230 + 7 + 91 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22680230791681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271392462 + ... + 271476018.

Almost surely, 2^{22680230791680} is an apocalyptic number.

22680230791680 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 22680230791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53618422594176).

22680230791680 is an abundant number, since it is smaller than the sum of its proper divisors (84556614396672).

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

22680230791680 is a wasteful number, since it uses less digits than its factorization.

22680230791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83627 (or 83602 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 22680230791680 in words is "twenty-two trillion, six hundred eighty billion, two hundred thirty million, seven hundred ninety-one thousand, six hundred eighty".