21827342680 has 128 divisors (see below), whose sum is σ = 58153697280. Its totient is φ = 7268728320.

The previous prime is 21827342659. The next prime is 21827342687. The reversal of 21827342680 is 8624372812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21827342687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711417 + ... + 741463.

It is an arithmetic number, because the mean of its divisors is an integer number (454325760).

Almost surely, 2^21827342680 is an apocalyptic number.

21827342680 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 21827342680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29076848640).

21827342680 is an abundant number, since it is smaller than the sum of its proper divisors (36326354600).

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

21827342680 is a wasteful number, since it uses less digits than its factorization.

21827342680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30209 (or 30205 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 21827342680 in words is "twenty-one billion, eight hundred twenty-seven million, three hundred forty-two thousand, six hundred eighty".