20694912166656 has 432 divisors, whose sum is σ = 73467413510400. Its totient is φ = 5455827394560.

The previous prime is 20694912166639. The next prime is 20694912166727. The reversal of 20694912166656 is 65666121949602.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20694912166593 and 20694912166602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565864851 + ... + 565901421.

It is an arithmetic number, because the mean of its divisors is an integer number (170063457200).

Almost surely, 2^{20694912166656} is an apocalyptic number.

20694912166656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20694912166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36733706755200).

20694912166656 is an abundant number, since it is smaller than the sum of its proper divisors (52772501343744).

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

20694912166656 is a wasteful number, since it uses less digits than its factorization.

20694912166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39312 (or 39295 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 20694912166656 in words is "twenty trillion, six hundred ninety-four billion, nine hundred twelve million, one hundred sixty-six thousand, six hundred fifty-six".