20692627677225 has 225 divisors, whose sum is σ = 44737240874183. Its totient is φ = 9454901631840.

The previous prime is 20692627677181. The next prime is 20692627677229. The reversal of 20692627677225 is 52277672629602.

The square root of 20692627677225 is 4548915.

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

20692627677225 is a `hidden beast` number, since 20 + 69 + 262 + 7 + 6 + 77 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7449345963801 + 13243281713424 = 2729349^2 + 3639132^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 20692627677225 - 2⁷ = 20692627677097 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20692627677229) by changing a digit.

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 224 ways as a sum of consecutive naturals, for example, 10030356544 + ... + 10030358606.

Almost surely, 2^{20692627677225} is an apocalyptic number.

20692627677225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20692627677225 is the 4548915-th square number.

20692627677225 is the 2274458-th centered octagonal number.

It is an amenable number.

20692627677225 is an abundant number, since it is smaller than the sum of its proper divisors (24044613196958).

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

20692627677225 is an frugal number, since it uses more digits than its factorization.

20692627677225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 20692627677225 in words is "twenty trillion, six hundred ninety-two billion, six hundred twenty-seven million, six hundred seventy-seven thousand, two hundred twenty-five".