25765776000000 has 1617 divisors, whose sum is σ = 98626595903257. Its totient is φ = 6724684800000.

The previous prime is 25765775999981. The next prime is 25765776000061. The reversal of 25765776000000 is 67756752.

The square root of 25765776000000 is 5076000.

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

25765776000000 is a `hidden beast` number, since 2 + 5 + 76 + 577 + 6 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22573293290496 + 3192482709504 = 4751136^2 + 1786752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25765776000000.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 548207999977 + ... + 548208000023.

Almost surely, 2^{25765776000000} is an apocalyptic number.

25765776000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25765776000000 is the 5076000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25765776000000

25765776000000 is an abundant number, since it is smaller than the sum of its proper divisors (72860819903257).

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

25765776000000 is an frugal number, since it uses more digits than its factorization.

25765776000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 25765776000000 in words is "twenty-five trillion, seven hundred sixty-five billion, seven hundred seventy-six million", and thus it is an aban number.