25864914091536 has 225 divisors, whose sum is σ = 81069492509181. Its totient is φ = 7957702756224.

The previous prime is 25864914091517. The next prime is 25864914091573. The reversal of 25864914091536 is 63519041946852.

The square root of 25864914091536 is 5085756.

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

25864914091536 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 4 + 9 + 1 + 4 + 0 + 91 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3826170723600 + 22038743367936 = 1956060^2 + 4694544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2380128375 + ... + 2380139241.

Almost surely, 2^{25864914091536} is an apocalyptic number.

25864914091536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

25864914091536 is the 5085756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25864914091536

25864914091536 is an abundant number, since it is smaller than the sum of its proper divisors (55204578417645).

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

25864914091536 is an frugal number, since it uses more digits than its factorization.

25864914091536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21780 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 25864914091536 in words is "twenty-five trillion, eight hundred sixty-four billion, nine hundred fourteen million, ninety-one thousand, five hundred thirty-six".