21588828036768 has 96 divisors (see below), whose sum is σ = 62993217006720. Its totient is φ = 7193327224320.

The previous prime is 21588828036767. The next prime is 21588828036799. The reversal of 21588828036768 is 86763082888512.

21588828036768 is a `hidden beast` number, since 2 + 1 + 58 + 8 + 82 + 80 + 367 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21588828036768² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21588828036696 and 21588828036705.

It is not an unprimeable number, because it can be changed into a prime (21588828036767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3009180 + ... + 7227227.

It is an arithmetic number, because the mean of its divisors is an integer number (656179343820).

Almost surely, 2^{21588828036768} is an apocalyptic number.

It is an amenable number.

21588828036768 is an abundant number, since it is smaller than the sum of its proper divisors (41404388969952).

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

21588828036768 is a wasteful number, since it uses less digits than its factorization.

21588828036768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10238867 (or 10238853 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 21588828036768 in words is "twenty-one trillion, five hundred eighty-eight billion, eight hundred twenty-eight million, thirty-six thousand, seven hundred sixty-eight".