21027575356704 has 72 divisors (see below), whose sum is σ = 68339619915840. Its totient is φ = 6007878672768.

The previous prime is 21027575356673. The next prime is 21027575356709. The reversal of 21027575356704 is 40765357572012.

21027575356704 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 7 + 5 + 75 + 3 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (21027575356709) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5215170444 + ... + 5215174475.

It is an arithmetic number, because the mean of its divisors is an integer number (949161387720).

Almost surely, 2^{21027575356704} is an apocalyptic number.

21027575356704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21027575356704 is an abundant number, since it is smaller than the sum of its proper divisors (47312044559136).

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

21027575356704 is a wasteful number, since it uses less digits than its factorization.

21027575356704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430344942 (or 10430344931 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 21027575356704 in words is "twenty-one trillion, twenty-seven billion, five hundred seventy-five million, three hundred fifty-six thousand, seven hundred four".