25758923855625 has 315 divisors, whose sum is σ = 49410274687587. Its totient is φ = 13418347248000.

The previous prime is 25758923855603. The next prime is 25758923855653. The reversal of 25758923855625 is 52655832985752.

It is a happy number.

The square root of 25758923855625 is 5075325.

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

25758923855625 is a `hidden beast` number, since 2 + 5 + 7 + 58 + 9 + 2 + 3 + 8 + 5 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 18270469713609 + 7488454142016 = 4274397^2 + 2736504^2 .

It is not a de Polignac number, because 25758923855625 - 2¹¹ = 25758923853577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 250086639324 + ... + 250086639426.

Almost surely, 2^{25758923855625} is an apocalyptic number.

25758923855625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25758923855625 is the 5075325-th square number.

25758923855625 is the 2537663-rd centered octagonal number.

It is an amenable number.

25758923855625 is a deficient number, since it is larger than the sum of its proper divisors (23651350831962).

25758923855625 is an frugal number, since it uses more digits than its factorization.

25758923855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 184 counting only the distinct ones).

The product of its digits is 1814400000, while the sum is 72.

The spelling of 25758923855625 in words is "twenty-five trillion, seven hundred fifty-eight billion, nine hundred twenty-three million, eight hundred fifty-five thousand, six hundred twenty-five".