21962238480 has 320 divisors, whose sum is σ = 93105707520. Its totient is φ = 4633749504.

The previous prime is 21962238479. The next prime is 21962238503. The reversal of 21962238480 is 8483226912.

21962238480 is a `hidden beast` number, since 2 + 19 + 622 + 3 + 8 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 140694 + ... + 252426.

It is an arithmetic number, because the mean of its divisors is an integer number (290955336).

Almost surely, 2^21962238480 is an apocalyptic number.

21962238480 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 21962238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46552853760).

21962238480 is an abundant number, since it is smaller than the sum of its proper divisors (71143469040).

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

21962238480 is a wasteful number, since it uses less digits than its factorization.

21962238480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111775 (or 111763 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21962238480 in words is "twenty-one billion, nine hundred sixty-two million, two hundred thirty-eight thousand, four hundred eighty".