21826473984 has 312 divisors, whose sum is σ = 73846386432. Its totient is φ = 6081085440.

The previous prime is 21826473971. The next prime is 21826473997. The reversal of 21826473984 is 48937462812.

21826473984 is a `hidden beast` number, since 2 + 1 + 82 + 6 + 473 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21826473971) and next prime (21826473997).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21826473984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10578937 + ... + 10580999.

It is an arithmetic number, because the mean of its divisors is an integer number (236687136).

Almost surely, 2^21826473984 is an apocalyptic number.

21826473984 is a gapful number since it is divisible by the number (24) 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 21826473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36923193216).

21826473984 is an abundant number, since it is smaller than the sum of its proper divisors (52019912448).

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

21826473984 is a wasteful number, since it uses less digits than its factorization.

21826473984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2116 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 21826473984 in words is "twenty-one billion, eight hundred twenty-six million, four hundred seventy-three thousand, nine hundred eighty-four".