25779411542016 has 672 divisors, whose sum is σ = 83077594299648. Its totient is φ = 7636970373120.

The previous prime is 25779411542009. The next prime is 25779411542089. The reversal of 25779411542016 is 61024511497752.

25779411542016 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 94 + 1 + 1 + 542 + 0 + 1 + 6 = 666.

It is a congruent number.

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, 7444240701 + ... + 7444244163.

Almost surely, 2^{25779411542016} 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 25779411542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41538797149824).

25779411542016 is an abundant number, since it is smaller than the sum of its proper divisors (57298182757632).

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

25779411542016 is a wasteful number, since it uses less digits than its factorization.

25779411542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 25779411542016 in words is "twenty-five trillion, seven hundred seventy-nine billion, four hundred eleven million, five hundred forty-two thousand, sixteen".