21682084320 has 384 divisors, whose sum is σ = 84549225600. Its totient is φ = 5152702464.

The previous prime is 21682084313. The next prime is 21682084331. The reversal of 21682084320 is 2348028612.

21682084320 is a `hidden beast` number, since 2 + 16 + 8 + 208 + 432 + 0 = 666.

It is a super-2 number, since 2×21682084320² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1621984 + ... + 1635296.

It is an arithmetic number, because the mean of its divisors is an integer number (220180275).

Almost surely, 2^21682084320 is an apocalyptic number.

21682084320 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 21682084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42274612800).

21682084320 is an abundant number, since it is smaller than the sum of its proper divisors (62867141280).

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

21682084320 is a wasteful number, since it uses less digits than its factorization.

21682084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13379 (or 13365 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21682084320 in words is "twenty-one billion, six hundred eighty-two million, eighty-four thousand, three hundred twenty".