21266522526096 has 75 divisors (see below), whose sum is σ = 61551966610651. Its totient is φ = 7088785503264.

The previous prime is 21266522526091. The next prime is 21266522526113. The reversal of 21266522526096 is 69062522566212.

The square root of 21266522526096 is 4611564.

It is a perfect power (a square), and thus also a powerful number.

21266522526096 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 6 + 5 + 2 + 25 + 2 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21266522526091) 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 14 ways as a sum of consecutive naturals, for example, 165952255 + ... + 166080353.

Almost surely, 2^{21266522526096} is an apocalyptic number.

21266522526096 is the 4611564-th square number.

It is an amenable number.

21266522526096 is an abundant number, since it is smaller than the sum of its proper divisors (40285444084555).

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

21266522526096 is an frugal number, since it uses more digits than its factorization.

21266522526096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256218 (or 128104 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 21266522526096 in words is "twenty-one trillion, two hundred sixty-six billion, five hundred twenty-two million, five hundred twenty-six thousand, ninety-six".