25128868580640 has 1080 divisors, whose sum is σ = 102881889508860. Its totient is φ = 5771093391360.

The previous prime is 25128868580623. The next prime is 25128868580671. The reversal of 25128868580640 is 4608586882152.

25128868580640 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 8 + 8 + 6 + 8 + 580 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23697696608784 + 1431171971856 = 4868028^2 + 1196316^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×25128868580640² (a number of 28 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 566083566 + ... + 566127954.

Almost surely, 2^{25128868580640} is an apocalyptic number.

25128868580640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25128868580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51440944754430).

25128868580640 is an abundant number, since it is smaller than the sum of its proper divisors (77753020928220).

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

25128868580640 is a wasteful number, since it uses less digits than its factorization.

25128868580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44476 (or 44429 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 25128868580640 in words is "twenty-five trillion, one hundred twenty-eight billion, eight hundred sixty-eight million, five hundred eighty thousand, six hundred forty".