25329711661056 has 480 divisors, whose sum is σ = 82347298185600. Its totient is φ = 7631048540160.

The previous prime is 25329711661003. The next prime is 25329711661063. The reversal of 25329711661056 is 65016611792352.

25329711661056 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 9 + 7 + 1 + 16 + 610 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25329711660993 and 25329711661011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841811260 + ... + 841841348.

It is an arithmetic number, because the mean of its divisors is an integer number (171556871220).

Almost surely, 2^{25329711661056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25329711661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41173649092800).

25329711661056 is an abundant number, since it is smaller than the sum of its proper divisors (57017586524544).

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

25329711661056 is a wasteful number, since it uses less digits than its factorization.

25329711661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30310 (or 30278 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 25329711661056 in words is "twenty-five trillion, three hundred twenty-nine billion, seven hundred eleven million, six hundred sixty-one thousand, fifty-six".