21121140056625 has 288 divisors, whose sum is σ = 44778302300160. Its totient is φ = 9549386784000.

The previous prime is 21121140056617. The next prime is 21121140056629. The reversal of 21121140056625 is 52665004112112.

21121140056625 is a `hidden beast` number, since 2 + 1 + 1 + 21 + 1 + 4 + 0 + 0 + 5 + 6 + 625 = 666.

It is not a de Polignac number, because 21121140056625 - 2³ = 21121140056617 is a prime.

It is a super-2 number, since 2×21121140056625² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21121140056625.

It is not an unprimeable number, because it can be changed into a prime (21121140056629) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3647232480 + ... + 3647238270.

It is an arithmetic number, because the mean of its divisors is an integer number (155480216320).

Almost surely, 2^{21121140056625} is an apocalyptic number.

21121140056625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21121140056625 is an abundant number, since it is smaller than the sum of its proper divisors (23657162243535).

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

21121140056625 is a wasteful number, since it uses less digits than its factorization.

21121140056625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 21121140056625 its reverse (52665004112112), we get a palindrome (73786144168737).

The spelling of 21121140056625 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred forty million, fifty-six thousand, six hundred twenty-five".