20966885741952 has 128 divisors (see below), whose sum is σ = 65138351376000. Its totient is φ = 6621121792512.

The previous prime is 20966885741947. The next prime is 20966885741959. The reversal of 20966885741952 is 25914758866902.

20966885741952 is a `hidden beast` number, since 20 + 9 + 6 + 68 + 85 + 7 + 419 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20966885741952² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20966885741959) 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, 159587158 + ... + 159718485.

It is an arithmetic number, because the mean of its divisors is an integer number (508893370125).

Almost surely, 2^{20966885741952} is an apocalyptic number.

It is an amenable number.

20966885741952 is an abundant number, since it is smaller than the sum of its proper divisors (44171465634048).

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

20966885741952 is a wasteful number, since it uses less digits than its factorization.

20966885741952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319305685 (or 319305667 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 20966885741952 in words is "twenty trillion, nine hundred sixty-six billion, eight hundred eighty-five million, seven hundred forty-one thousand, nine hundred fifty-two".