25972668540 has 864 divisors, whose sum is σ = 104465350080. Its totient is φ = 5169733632.

The previous prime is 25972668509. The next prime is 25972668541. The reversal of 25972668540 is 4586627952.

25972668540 is a `hidden beast` number, since 2 + 5 + 97 + 2 + 6 + 6 + 8 + 540 = 666.

It is a super-3 number, since 3×25972668540³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25972668541) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 242735167 + ... + 242735273.

It is an arithmetic number, because the mean of its divisors is an integer number (120908970).

Almost surely, 2^25972668540 is an apocalyptic number.

25972668540 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 25972668540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52232675040).

25972668540 is an abundant number, since it is smaller than the sum of its proper divisors (78492681540).

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

25972668540 is a wasteful number, since it uses less digits than its factorization.

25972668540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 25972668540 in words is "twenty-five billion, nine hundred seventy-two million, six hundred sixty-eight thousand, five hundred forty".