20121366566925 has 480 divisors, whose sum is σ = 42241421376000. Its totient is φ = 9401624432640.

The previous prime is 20121366566921. The next prime is 20121366567007. The reversal of 20121366566925 is 52966566312102.

20121366566925 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 13 + 66 + 566 + 9 + 2 + 5 = 666.

It is not a de Polignac number, because 20121366566925 - 2² = 20121366566921 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121366566921) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19181473801 + ... + 19181474849.

It is an arithmetic number, because the mean of its divisors is an integer number (88002961200).

Almost surely, 2^{20121366566925} is an apocalyptic number.

20121366566925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20121366566925 is an abundant number, since it is smaller than the sum of its proper divisors (22120054809075).

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

20121366566925 is a wasteful number, since it uses less digits than its factorization.

20121366566925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 20121366566925 in words is "twenty trillion, one hundred twenty-one billion, three hundred sixty-six million, five hundred sixty-six thousand, nine hundred twenty-five".