25607742160896 has 1056 divisors, whose sum is σ = 92223663275520. Its totient is φ = 6866344083456.

The previous prime is 25607742160849. The next prime is 25607742160927. The reversal of 25607742160896 is 69806124770652.

25607742160896 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 77 + 421 + 60 + 89 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483164946406 + ... + 483164946458.

Almost surely, 2^{25607742160896} 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 25607742160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46111831637760).

25607742160896 is an abundant number, since it is smaller than the sum of its proper divisors (66615921114624).

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

25607742160896 is an frugal number, since it uses more digits than its factorization.

25607742160896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 25607742160896 in words is "twenty-five trillion, six hundred seven billion, seven hundred forty-two million, one hundred sixty thousand, eight hundred ninety-six".