21883355520 has 256 divisors, whose sum is σ = 78386918400. Its totient is φ = 5152333824.

The previous prime is 21883355503. The next prime is 21883355537. The reversal of 21883355520 is 2555338812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21883355503) and next prime (21883355537).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555021 + ... + 593139.

It is an arithmetic number, because the mean of its divisors is an integer number (306198900).

Almost surely, 2^21883355520 is an apocalyptic number.

21883355520 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 21883355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39193459200).

21883355520 is an abundant number, since it is smaller than the sum of its proper divisors (56503562880).

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

21883355520 is a wasteful number, since it uses less digits than its factorization.

21883355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38177 (or 38165 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 21883355520 in words is "twenty-one billion, eight hundred eighty-three million, three hundred fifty-five thousand, five hundred twenty".