21536708794848 has 288 divisors, whose sum is σ = 67254812194752. Its totient is φ = 6497235763200.

The previous prime is 21536708794831. The next prime is 21536708794897. The reversal of 21536708794848 is 84849780763512.

It is a happy number.

21536708794848 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 6 + 70 + 8 + 79 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47890336 + ... + 48337952.

It is an arithmetic number, because the mean of its divisors is an integer number (233523653454).

It is a 1-persistent number, because it is pandigital, but 2⋅21536708794848 = 43073417589696 is not.

Almost surely, 2^{21536708794848} 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 21536708794848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33627406097376).

21536708794848 is an abundant number, since it is smaller than the sum of its proper divisors (45718103399904).

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

21536708794848 is a wasteful number, since it uses less digits than its factorization.

21536708794848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447898 (or 447887 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 21536708794848 in words is "twenty-one trillion, five hundred thirty-six billion, seven hundred eight million, seven hundred ninety-four thousand, eight hundred forty-eight".