21982347072 has 504 divisors, whose sum is σ = 76836483360. Its totient is φ = 5983488000.

The previous prime is 21982347071. The next prime is 21982347073. The reversal of 21982347072 is 27074328912.

21982347072 is a `hidden beast` number, since 2 + 1 + 98 + 23 + 470 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (21982347071) and next prime (21982347073).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×21982347072³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21982347071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87578947 + ... + 87579197.

It is an arithmetic number, because the mean of its divisors is an integer number (152453340).

Almost surely, 2^21982347072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21982347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38418241680).

21982347072 is an abundant number, since it is smaller than the sum of its proper divisors (54854136288).

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

21982347072 is a wasteful number, since it uses less digits than its factorization.

21982347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 21982347072 in words is "twenty-one billion, nine hundred eighty-two million, three hundred forty-seven thousand, seventy-two".