21782349231825 has 576 divisors, whose sum is σ = 47158211681280. Its totient is φ = 8839224576000.

The previous prime is 21782349231751. The next prime is 21782349231827. The reversal of 21782349231825 is 52813294328712.

It is not a de Polignac number, because 21782349231825 - 2⁸ = 21782349231569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21782349231827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23148085855 + ... + 23148086795.

It is an arithmetic number, because the mean of its divisors is an integer number (81871895280).

Almost surely, 2^{21782349231825} is an apocalyptic number.

21782349231825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21782349231825 is an abundant number, since it is smaller than the sum of its proper divisors (25375862449455).

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

21782349231825 is a wasteful number, since it uses less digits than its factorization.

21782349231825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1077 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 21782349231825 in words is "twenty-one trillion, seven hundred eighty-two billion, three hundred forty-nine million, two hundred thirty-one thousand, eight hundred twenty-five".