25610724975616 has 165 divisors, whose sum is σ = 56358854497795. Its totient is φ = 11632331786240.

The previous prime is 25610724975541. The next prime is 25610724975617. The reversal of 25610724975616 is 61657942701652.

The square root of 25610724975616 is 5060704.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25610724975617) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19595045235 + ... + 19595046541.

Almost surely, 2^{25610724975616} is an apocalyptic number.

25610724975616 is the 5060704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25610724975616

25610724975616 is an abundant number, since it is smaller than the sum of its proper divisors (30748129522179).

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

25610724975616 is an frugal number, since it uses more digits than its factorization.

25610724975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 25610724975616 in words is "twenty-five trillion, six hundred ten billion, seven hundred twenty-four million, nine hundred seventy-five thousand, six hundred sixteen".