21983950560 has 384 divisors, whose sum is σ = 82904726016. Its totient is φ = 4825866240.

The previous prime is 21983950559. The next prime is 21983950561. The reversal of 21983950560 is 6505938912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21983950559) and next prime (21983950561).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21983950561) 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 63 ways as a sum of consecutive naturals, for example, 3634899 + ... + 3640941.

It is an arithmetic number, because the mean of its divisors is an integer number (215897724).

Almost surely, 2^21983950560 is an apocalyptic number.

21983950560 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 21983950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41452363008).

21983950560 is an abundant number, since it is smaller than the sum of its proper divisors (60920775456).

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

21983950560 is a wasteful number, since it uses less digits than its factorization.

21983950560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 21983950560 in words is "twenty-one billion, nine hundred eighty-three million, nine hundred fifty thousand, five hundred sixty".