21843510579864 has 384 divisors, whose sum is σ = 61886019686400. Its totient is φ = 6952804992000.

The previous prime is 21843510579857. The next prime is 21843510579893. The reversal of 21843510579864 is 46897501534812.

It is a happy number.

21843510579864 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 3 + 51 + 0 + 579 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42914558842 + ... + 42914559350.

It is an arithmetic number, because the mean of its divisors is an integer number (161161509600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21843510579864 = 43687021159728, but 3⋅21843510579864 = 65530531739592 is not.

Almost surely, 2^{21843510579864} is an apocalyptic number.

21843510579864 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 21843510579864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30943009843200).

21843510579864 is an abundant number, since it is smaller than the sum of its proper divisors (40042509106536).

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

21843510579864 is a wasteful number, since it uses less digits than its factorization.

21843510579864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 21843510579864 in words is "twenty-one trillion, eight hundred forty-three billion, five hundred ten million, five hundred seventy-nine thousand, eight hundred sixty-four".